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Simplifying -4x + 8 + -5(x + -1) = -1(3x + -3) + -5x + 5 Reorder the terms: -4x + 8 + -5(-1 + x) = -1(3x + -3) + -5x + 5 -4x + 8 + (-1 * -5 + x * -5) = -1(3x + -3) + -5x + 5 -4x + 8 + (5 + -5x) = -1(3x + -3) + -5x + 5 Reorder the terms: 8 + 5 + -4x + -5x = -1(3x + -3) + -5x + 5 Combine like terms: 8 + 5 = 13 13 + -4x + -5x = -1(3x + -3) + -5x + 5 Combine like terms: -4x + -5x = -9x 13 + -9x = -1(3x + -3) + -5x + 5 Reorder the terms: 13 + -9x = -1(-3 + 3x) + -5x + 5 13 + -9x = (-3 * -1 + 3x * -1) + -5x + 5 13 + -9x = (3 + -3x) + -5x + 5 Reorder the terms: 13 + -9x = 3 + 5 + -3x + -5x Combine like terms: 3 + 5 = 8 13 + -9x = 8 + -3x + -5x Combine like terms: -3x + -5x = -8x 13 + -9x = 8 + -8x Solving 13 + -9x = 8 + -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. 13 + -9x + 8x = 8 + -8x + 8x Combine like terms: -9x + 8x = -1x 13 + -1x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + -1x = 8 + 0 13 + -1x = 8 Add '-13' to each side of the equation. 13 + -13 + -1x = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 8 + -13 -1x = 8 + -13 Combine like terms: 8 + -13 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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