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Simplifying 10x + 2(x + 12) = -14(x + -1) Reorder the terms: 10x + 2(12 + x) = -14(x + -1) 10x + (12 * 2 + x * 2) = -14(x + -1) 10x + (24 + 2x) = -14(x + -1) Reorder the terms: 24 + 10x + 2x = -14(x + -1) Combine like terms: 10x + 2x = 12x 24 + 12x = -14(x + -1) Reorder the terms: 24 + 12x = -14(-1 + x) 24 + 12x = (-1 * -14 + x * -14) 24 + 12x = (14 + -14x) Solving 24 + 12x = 14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 24 + 12x + 14x = 14 + -14x + 14x Combine like terms: 12x + 14x = 26x 24 + 26x = 14 + -14x + 14x Combine like terms: -14x + 14x = 0 24 + 26x = 14 + 0 24 + 26x = 14 Add '-24' to each side of the equation. 24 + -24 + 26x = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 26x = 14 + -24 26x = 14 + -24 Combine like terms: 14 + -24 = -10 26x = -10 Divide each side by '26'. x = -0.3846153846 Simplifying x = -0.3846153846
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