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Simplifying 10 + -21(1 + -1x) = 8(-12 + 6x) + -14 10 + (1 * -21 + -1x * -21) = 8(-12 + 6x) + -14 10 + (-21 + 21x) = 8(-12 + 6x) + -14 Combine like terms: 10 + -21 = -11 -11 + 21x = 8(-12 + 6x) + -14 -11 + 21x = (-12 * 8 + 6x * 8) + -14 -11 + 21x = (-96 + 48x) + -14 Reorder the terms: -11 + 21x = -96 + -14 + 48x Combine like terms: -96 + -14 = -110 -11 + 21x = -110 + 48x Solving -11 + 21x = -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. -11 + 21x + -48x = -110 + 48x + -48x Combine like terms: 21x + -48x = -27x -11 + -27x = -110 + 48x + -48x Combine like terms: 48x + -48x = 0 -11 + -27x = -110 + 0 -11 + -27x = -110 Add '11' to each side of the equation. -11 + 11 + -27x = -110 + 11 Combine like terms: -11 + 11 = 0 0 + -27x = -110 + 11 -27x = -110 + 11 Combine like terms: -110 + 11 = -99 -27x = -99 Divide each side by '-27'. x = 3.666666667 Simplifying x = 3.666666667
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