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Simplifying 12 + 5(8 + -6x) = 32 + -20x 12 + (8 * 5 + -6x * 5) = 32 + -20x 12 + (40 + -30x) = 32 + -20x Combine like terms: 12 + 40 = 52 52 + -30x = 32 + -20x Solving 52 + -30x = 32 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 52 + -30x + 20x = 32 + -20x + 20x Combine like terms: -30x + 20x = -10x 52 + -10x = 32 + -20x + 20x Combine like terms: -20x + 20x = 0 52 + -10x = 32 + 0 52 + -10x = 32 Add '-52' to each side of the equation. 52 + -52 + -10x = 32 + -52 Combine like terms: 52 + -52 = 0 0 + -10x = 32 + -52 -10x = 32 + -52 Combine like terms: 32 + -52 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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