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Simplifying 7x + -1(4 + -5x) = 4x + (5 + -9x) + -1(3 + -3x) 7x + (4 * -1 + -5x * -1) = 4x + (5 + -9x) + -1(3 + -3x) 7x + (-4 + 5x) = 4x + (5 + -9x) + -1(3 + -3x) Reorder the terms: -4 + 7x + 5x = 4x + (5 + -9x) + -1(3 + -3x) Combine like terms: 7x + 5x = 12x -4 + 12x = 4x + (5 + -9x) + -1(3 + -3x) Remove parenthesis around (5 + -9x) -4 + 12x = 4x + 5 + -9x + -1(3 + -3x) -4 + 12x = 4x + 5 + -9x + (3 * -1 + -3x * -1) -4 + 12x = 4x + 5 + -9x + (-3 + 3x) Reorder the terms: -4 + 12x = 5 + -3 + 4x + -9x + 3x Combine like terms: 5 + -3 = 2 -4 + 12x = 2 + 4x + -9x + 3x Combine like terms: 4x + -9x = -5x -4 + 12x = 2 + -5x + 3x Combine like terms: -5x + 3x = -2x -4 + 12x = 2 + -2x Solving -4 + 12x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 12x + 2x = 2 + -2x + 2x Combine like terms: 12x + 2x = 14x -4 + 14x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 14x = 2 + 0 -4 + 14x = 2 Add '4' to each side of the equation. -4 + 4 + 14x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 2 + 4 14x = 2 + 4 Combine like terms: 2 + 4 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286

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