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Simplifying 2x + 2(-5x + 12) = -24 Reorder the terms: 2x + 2(12 + -5x) = -24 2x + (12 * 2 + -5x * 2) = -24 2x + (24 + -10x) = -24 Reorder the terms: 24 + 2x + -10x = -24 Combine like terms: 2x + -10x = -8x 24 + -8x = -24 Solving 24 + -8x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -8x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = -24 + -24 -8x = -24 + -24 Combine like terms: -24 + -24 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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