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