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Simplifying 2(12 + -2x) + -2x = 32 (12 * 2 + -2x * 2) + -2x = 32 (24 + -4x) + -2x = 32 Combine like terms: -4x + -2x = -6x 24 + -6x = 32 Solving 24 + -6x = 32 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 + -6x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 32 + -24 -6x = 32 + -24 Combine like terms: 32 + -24 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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