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Simplifying 10 + -12(1 + -1x) = 8(12 + 6x) + -14 10 + (1 * -12 + -1x * -12) = 8(12 + 6x) + -14 10 + (-12 + 12x) = 8(12 + 6x) + -14 Combine like terms: 10 + -12 = -2 -2 + 12x = 8(12 + 6x) + -14 -2 + 12x = (12 * 8 + 6x * 8) + -14 -2 + 12x = (96 + 48x) + -14 Reorder the terms: -2 + 12x = 96 + -14 + 48x Combine like terms: 96 + -14 = 82 -2 + 12x = 82 + 48x Solving -2 + 12x = 82 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -2 + 12x + -48x = 82 + 48x + -48x Combine like terms: 12x + -48x = -36x -2 + -36x = 82 + 48x + -48x Combine like terms: 48x + -48x = 0 -2 + -36x = 82 + 0 -2 + -36x = 82 Add '2' to each side of the equation. -2 + 2 + -36x = 82 + 2 Combine like terms: -2 + 2 = 0 0 + -36x = 82 + 2 -36x = 82 + 2 Combine like terms: 82 + 2 = 84 -36x = 84 Divide each side by '-36'. x = -2.333333333 Simplifying x = -2.333333333
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