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Simplifying -3x + 8 + -5(x + -1) = -1(2x + -7) + -5x + 5 Reorder the terms: -3x + 8 + -5(-1 + x) = -1(2x + -7) + -5x + 5 -3x + 8 + (-1 * -5 + x * -5) = -1(2x + -7) + -5x + 5 -3x + 8 + (5 + -5x) = -1(2x + -7) + -5x + 5 Reorder the terms: 8 + 5 + -3x + -5x = -1(2x + -7) + -5x + 5 Combine like terms: 8 + 5 = 13 13 + -3x + -5x = -1(2x + -7) + -5x + 5 Combine like terms: -3x + -5x = -8x 13 + -8x = -1(2x + -7) + -5x + 5 Reorder the terms: 13 + -8x = -1(-7 + 2x) + -5x + 5 13 + -8x = (-7 * -1 + 2x * -1) + -5x + 5 13 + -8x = (7 + -2x) + -5x + 5 Reorder the terms: 13 + -8x = 7 + 5 + -2x + -5x Combine like terms: 7 + 5 = 12 13 + -8x = 12 + -2x + -5x Combine like terms: -2x + -5x = -7x 13 + -8x = 12 + -7x Solving 13 + -8x = 12 + -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. 13 + -8x + 7x = 12 + -7x + 7x Combine like terms: -8x + 7x = -1x 13 + -1x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 13 + -1x = 12 + 0 13 + -1x = 12 Add '-13' to each side of the equation. 13 + -13 + -1x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 12 + -13 -1x = 12 + -13 Combine like terms: 12 + -13 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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