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Simplifying 1(x + 10) = 2(x + -2) Reorder the terms: 1(10 + x) = 2(x + -2) (10 * 1 + x * 1) = 2(x + -2) (10 + 1x) = 2(x + -2) Reorder the terms: 10 + 1x = 2(-2 + x) 10 + 1x = (-2 * 2 + x * 2) 10 + 1x = (-4 + 2x) Solving 10 + 1x = -4 + 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 + 1x + -2x = -4 + 2x + -2x Combine like terms: 1x + -2x = -1x 10 + -1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -1x = -4 + 0 10 + -1x = -4 Add '-10' to each side of the equation. 10 + -10 + -1x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -4 + -10 -1x = -4 + -10 Combine like terms: -4 + -10 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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