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Simplifying -1(x + -11) = -2(5 + -1x) Reorder the terms: -1(-11 + x) = -2(5 + -1x) (-11 * -1 + x * -1) = -2(5 + -1x) (11 + -1x) = -2(5 + -1x) 11 + -1x = (5 * -2 + -1x * -2) 11 + -1x = (-10 + 2x) Solving 11 + -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. 11 + -1x + -2x = -10 + 2x + -2x Combine like terms: -1x + -2x = -3x 11 + -3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + -3x = -10 + 0 11 + -3x = -10 Add '-11' to each side of the equation. 11 + -11 + -3x = -10 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = -10 + -11 -3x = -10 + -11 Combine like terms: -10 + -11 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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