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Simplifying 14x + 32 + -8 = 12(2x + -4) + 2x Reorder the terms: 32 + -8 + 14x = 12(2x + -4) + 2x Combine like terms: 32 + -8 = 24 24 + 14x = 12(2x + -4) + 2x Reorder the terms: 24 + 14x = 12(-4 + 2x) + 2x 24 + 14x = (-4 * 12 + 2x * 12) + 2x 24 + 14x = (-48 + 24x) + 2x Combine like terms: 24x + 2x = 26x 24 + 14x = -48 + 26x Solving 24 + 14x = -48 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 24 + 14x + -26x = -48 + 26x + -26x Combine like terms: 14x + -26x = -12x 24 + -12x = -48 + 26x + -26x Combine like terms: 26x + -26x = 0 24 + -12x = -48 + 0 24 + -12x = -48 Add '-24' to each side of the equation. 24 + -24 + -12x = -48 + -24 Combine like terms: 24 + -24 = 0 0 + -12x = -48 + -24 -12x = -48 + -24 Combine like terms: -48 + -24 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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