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Simplifying 8(3 + x) = -2(-27 + x) (3 * 8 + x * 8) = -2(-27 + x) (24 + 8x) = -2(-27 + x) 24 + 8x = (-27 * -2 + x * -2) 24 + 8x = (54 + -2x) Solving 24 + 8x = 54 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 24 + 8x + 2x = 54 + -2x + 2x Combine like terms: 8x + 2x = 10x 24 + 10x = 54 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 10x = 54 + 0 24 + 10x = 54 Add '-24' to each side of the equation. 24 + -24 + 10x = 54 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 54 + -24 10x = 54 + -24 Combine like terms: 54 + -24 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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