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Simplifying (-1x + 1) = -2(5 + -1x) Reorder the terms: (1 + -1x) = -2(5 + -1x) Remove parenthesis around (1 + -1x) 1 + -1x = -2(5 + -1x) 1 + -1x = (5 * -2 + -1x * -2) 1 + -1x = (-10 + 2x) Solving 1 + -1x = -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. 1 + -1x + -2x = -10 + 2x + -2x Combine like terms: -1x + -2x = -3x 1 + -3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -3x = -10 + 0 1 + -3x = -10 Add '-1' to each side of the equation. 1 + -1 + -3x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -10 + -1 -3x = -10 + -1 Combine like terms: -10 + -1 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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