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Simplifying 2(12 + -3x) = 2x (12 * 2 + -3x * 2) = 2x (24 + -6x) = 2x Solving 24 + -6x = 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 + -6x + -2x = 2x + -2x Combine like terms: -6x + -2x = -8x 24 + -8x = 2x + -2x Combine like terms: 2x + -2x = 0 24 + -8x = 0 Add '-24' to each side of the equation. 24 + -24 + -8x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 0 + -24 -8x = 0 + -24 Combine like terms: 0 + -24 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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