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Simplifying -4x + 7 + -5(x + -1) = -1(3x + -5) + -5x + 5 Reorder the terms: -4x + 7 + -5(-1 + x) = -1(3x + -5) + -5x + 5 -4x + 7 + (-1 * -5 + x * -5) = -1(3x + -5) + -5x + 5 -4x + 7 + (5 + -5x) = -1(3x + -5) + -5x + 5 Reorder the terms: 7 + 5 + -4x + -5x = -1(3x + -5) + -5x + 5 Combine like terms: 7 + 5 = 12 12 + -4x + -5x = -1(3x + -5) + -5x + 5 Combine like terms: -4x + -5x = -9x 12 + -9x = -1(3x + -5) + -5x + 5 Reorder the terms: 12 + -9x = -1(-5 + 3x) + -5x + 5 12 + -9x = (-5 * -1 + 3x * -1) + -5x + 5 12 + -9x = (5 + -3x) + -5x + 5 Reorder the terms: 12 + -9x = 5 + 5 + -3x + -5x Combine like terms: 5 + 5 = 10 12 + -9x = 10 + -3x + -5x Combine like terms: -3x + -5x = -8x 12 + -9x = 10 + -8x Solving 12 + -9x = 10 + -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. 12 + -9x + 8x = 10 + -8x + 8x Combine like terms: -9x + 8x = -1x 12 + -1x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + -1x = 10 + 0 12 + -1x = 10 Add '-12' to each side of the equation. 12 + -12 + -1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 10 + -12 -1x = 10 + -12 Combine like terms: 10 + -12 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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