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Simplifying -4(7 + -1x)(7 + x) = 4x(x + -5) Multiply (7 + -1x) * (7 + x) -4(7(7 + x) + -1x * (7 + x)) = 4x(x + -5) -4((7 * 7 + x * 7) + -1x * (7 + x)) = 4x(x + -5) -4((49 + 7x) + -1x * (7 + x)) = 4x(x + -5) -4(49 + 7x + (7 * -1x + x * -1x)) = 4x(x + -5) -4(49 + 7x + (-7x + -1x^{2})) = 4x(x + -5) Combine like terms: 7x + -7x = 0 -4(49 + 0 + -1x^{2}) = 4x(x + -5) -4(49 + -1x^{2}) = 4x(x + -5) (49 * -4 + -1x^{2}* -4) = 4x(x + -5) (-196 + 4x^{2}) = 4x(x + -5) Reorder the terms: -196 + 4x^{2}= 4x(-5 + x) -196 + 4x^{2}= (-5 * 4x + x * 4x) -196 + 4x^{2}= (-20x + 4x^{2}) Add '-4x^{2}' to each side of the equation. -196 + 4x^{2}+ -4x^{2}= -20x + 4x^{2}+ -4x^{2}Combine like terms: 4x^{2}+ -4x^{2}= 0 -196 + 0 = -20x + 4x^{2}+ -4x^{2}-196 = -20x + 4x^{2}+ -4x^{2}Combine like terms: 4x^{2}+ -4x^{2}= 0 -196 = -20x + 0 -196 = -20x Solving -196 = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -196 + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 -196 + 20x = 0 Add '196' to each side of the equation. -196 + 196 + 20x = 0 + 196 Combine like terms: -196 + 196 = 0 0 + 20x = 0 + 196 20x = 0 + 196 Combine like terms: 0 + 196 = 196 20x = 196 Divide each side by '20'. x = 9.8 Simplifying x = 9.8

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