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Simplifying 2(12 + x) = 8(6 + -1x) (12 * 2 + x * 2) = 8(6 + -1x) (24 + 2x) = 8(6 + -1x) 24 + 2x = (6 * 8 + -1x * 8) 24 + 2x = (48 + -8x) Solving 24 + 2x = 48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 24 + 2x + 8x = 48 + -8x + 8x Combine like terms: 2x + 8x = 10x 24 + 10x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 10x = 48 + 0 24 + 10x = 48 Add '-24' to each side of the equation. 24 + -24 + 10x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 48 + -24 10x = 48 + -24 Combine like terms: 48 + -24 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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