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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 = -110 -2 + 12x = -110 + 48x Solving -2 + 12x = -110 + 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 = -110 + 48x + -48x Combine like terms: 12x + -48x = -36x -2 + -36x = -110 + 48x + -48x Combine like terms: 48x + -48x = 0 -2 + -36x = -110 + 0 -2 + -36x = -110 Add '2' to each side of the equation. -2 + 2 + -36x = -110 + 2 Combine like terms: -2 + 2 = 0 0 + -36x = -110 + 2 -36x = -110 + 2 Combine like terms: -110 + 2 = -108 -36x = -108 Divide each side by '-36'. x = 3 Simplifying x = 3
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