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