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Simplifying 3x + -5(x + -1) = -5x + 8(-1x + 2) Reorder the terms: 3x + -5(-1 + x) = -5x + 8(-1x + 2) 3x + (-1 * -5 + x * -5) = -5x + 8(-1x + 2) 3x + (5 + -5x) = -5x + 8(-1x + 2) Reorder the terms: 5 + 3x + -5x = -5x + 8(-1x + 2) Combine like terms: 3x + -5x = -2x 5 + -2x = -5x + 8(-1x + 2) Reorder the terms: 5 + -2x = -5x + 8(2 + -1x) 5 + -2x = -5x + (2 * 8 + -1x * 8) 5 + -2x = -5x + (16 + -8x) Reorder the terms: 5 + -2x = 16 + -5x + -8x Combine like terms: -5x + -8x = -13x 5 + -2x = 16 + -13x Solving 5 + -2x = 16 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 5 + -2x + 13x = 16 + -13x + 13x Combine like terms: -2x + 13x = 11x 5 + 11x = 16 + -13x + 13x Combine like terms: -13x + 13x = 0 5 + 11x = 16 + 0 5 + 11x = 16 Add '-5' to each side of the equation. 5 + -5 + 11x = 16 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 16 + -5 11x = 16 + -5 Combine like terms: 16 + -5 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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