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Simplifying 2(-1x + 5) = 2(1 + -1x) + -1x Reorder the terms: 2(5 + -1x) = 2(1 + -1x) + -1x (5 * 2 + -1x * 2) = 2(1 + -1x) + -1x (10 + -2x) = 2(1 + -1x) + -1x 10 + -2x = (1 * 2 + -1x * 2) + -1x 10 + -2x = (2 + -2x) + -1x Combine like terms: -2x + -1x = -3x 10 + -2x = 2 + -3x Solving 10 + -2x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + -2x + 3x = 2 + -3x + 3x Combine like terms: -2x + 3x = 1x 10 + 1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 1x = 2 + 0 10 + 1x = 2 Add '-10' to each side of the equation. 10 + -10 + 1x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 2 + -10 1x = 2 + -10 Combine like terms: 2 + -10 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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