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Simplifying 5(x + -1) = -2(5 + -1x) Reorder the terms: 5(-1 + x) = -2(5 + -1x) (-1 * 5 + x * 5) = -2(5 + -1x) (-5 + 5x) = -2(5 + -1x) -5 + 5x = (5 * -2 + -1x * -2) -5 + 5x = (-10 + 2x) Solving -5 + 5x = -10 + 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 = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x -5 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 3x = -10 + 0 -5 + 3x = -10 Add '5' to each side of the equation. -5 + 5 + 3x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -10 + 5 3x = -10 + 5 Combine like terms: -10 + 5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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