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Simplifying 10 + 4(9 + -8x) = 6 + -12x 10 + (9 * 4 + -8x * 4) = 6 + -12x 10 + (36 + -32x) = 6 + -12x Combine like terms: 10 + 36 = 46 46 + -32x = 6 + -12x Solving 46 + -32x = 6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 46 + -32x + 12x = 6 + -12x + 12x Combine like terms: -32x + 12x = -20x 46 + -20x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 46 + -20x = 6 + 0 46 + -20x = 6 Add '-46' to each side of the equation. 46 + -46 + -20x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -20x = 6 + -46 -20x = 6 + -46 Combine like terms: 6 + -46 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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