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Simplifying 2(12 + -3x) = -6 + 4x (12 * 2 + -3x * 2) = -6 + 4x (24 + -6x) = -6 + 4x Solving 24 + -6x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + -6x + -4x = -6 + 4x + -4x Combine like terms: -6x + -4x = -10x 24 + -10x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -10x = -6 + 0 24 + -10x = -6 Add '-24' to each side of the equation. 24 + -24 + -10x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = -6 + -24 -10x = -6 + -24 Combine like terms: -6 + -24 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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