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Simplifying 3(6x + 8) = 2x + -24 Reorder the terms: 3(8 + 6x) = 2x + -24 (8 * 3 + 6x * 3) = 2x + -24 (24 + 18x) = 2x + -24 Reorder the terms: 24 + 18x = -24 + 2x Solving 24 + 18x = -24 + 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 + 18x + -2x = -24 + 2x + -2x Combine like terms: 18x + -2x = 16x 24 + 16x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 16x = -24 + 0 24 + 16x = -24 Add '-24' to each side of the equation. 24 + -24 + 16x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = -24 + -24 16x = -24 + -24 Combine like terms: -24 + -24 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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