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Simplifying x + -1(x + 10) = -2(1 + -1x) Reorder the terms: x + -1(10 + x) = -2(1 + -1x) x + (10 * -1 + x * -1) = -2(1 + -1x) x + (-10 + -1x) = -2(1 + -1x) Reorder the terms: -10 + x + -1x = -2(1 + -1x) Combine like terms: x + -1x = 0 -10 + 0 = -2(1 + -1x) -10 = -2(1 + -1x) -10 = (1 * -2 + -1x * -2) -10 = (-2 + 2x) Solving -10 = -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. -10 + -2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -2x = -2 + 0 -10 + -2x = -2 Add '10' to each side of the equation. -10 + 10 + -2x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -2 + 10 -2x = -2 + 10 Combine like terms: -2 + 10 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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