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