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Simplifying 1(10 + -1x) = 2(-14 + -1x) (10 * 1 + -1x * 1) = 2(-14 + -1x) (10 + -1x) = 2(-14 + -1x) 10 + -1x = (-14 * 2 + -1x * 2) 10 + -1x = (-28 + -2x) Solving 10 + -1x = -28 + -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 = -28 + -2x + 2x Combine like terms: -1x + 2x = 1x 10 + 1x = -28 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 1x = -28 + 0 10 + 1x = -28 Add '-10' to each side of the equation. 10 + -10 + 1x = -28 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -28 + -10 1x = -28 + -10 Combine like terms: -28 + -10 = -38 1x = -38 Divide each side by '1'. x = -38 Simplifying x = -38
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