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Simplifying -5x + 7 = -4(2x + 5) Reorder the terms: 7 + -5x = -4(2x + 5) Reorder the terms: 7 + -5x = -4(5 + 2x) 7 + -5x = (5 * -4 + 2x * -4) 7 + -5x = (-20 + -8x) Solving 7 + -5x = -20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 7 + -5x + 8x = -20 + -8x + 8x Combine like terms: -5x + 8x = 3x 7 + 3x = -20 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 3x = -20 + 0 7 + 3x = -20 Add '-7' to each side of the equation. 7 + -7 + 3x = -20 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -20 + -7 3x = -20 + -7 Combine like terms: -20 + -7 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9

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