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Simplifying -3x + 7 + -5(x + -1) = -1(2x + -4) + -5x + 5 Reorder the terms: -3x + 7 + -5(-1 + x) = -1(2x + -4) + -5x + 5 -3x + 7 + (-1 * -5 + x * -5) = -1(2x + -4) + -5x + 5 -3x + 7 + (5 + -5x) = -1(2x + -4) + -5x + 5 Reorder the terms: 7 + 5 + -3x + -5x = -1(2x + -4) + -5x + 5 Combine like terms: 7 + 5 = 12 12 + -3x + -5x = -1(2x + -4) + -5x + 5 Combine like terms: -3x + -5x = -8x 12 + -8x = -1(2x + -4) + -5x + 5 Reorder the terms: 12 + -8x = -1(-4 + 2x) + -5x + 5 12 + -8x = (-4 * -1 + 2x * -1) + -5x + 5 12 + -8x = (4 + -2x) + -5x + 5 Reorder the terms: 12 + -8x = 4 + 5 + -2x + -5x Combine like terms: 4 + 5 = 9 12 + -8x = 9 + -2x + -5x Combine like terms: -2x + -5x = -7x 12 + -8x = 9 + -7x Solving 12 + -8x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -8x + 7x = 9 + -7x + 7x Combine like terms: -8x + 7x = -1x 12 + -1x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + -1x = 9 + 0 12 + -1x = 9 Add '-12' to each side of the equation. 12 + -12 + -1x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 9 + -12 -1x = 9 + -12 Combine like terms: 9 + -12 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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