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Simplifying 24 = 6(x + 6) + -8x Reorder the terms: 24 = 6(6 + x) + -8x 24 = (6 * 6 + x * 6) + -8x 24 = (36 + 6x) + -8x Combine like terms: 6x + -8x = -2x 24 = 36 + -2x Solving 24 = 36 + -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 + 2x = 36 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 2x = 36 + 0 24 + 2x = 36 Add '-24' to each side of the equation. 24 + -24 + 2x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 36 + -24 2x = 36 + -24 Combine like terms: 36 + -24 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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