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Simplifying 3(4 + -2x) + -2(12 + 3x) = 18 (4 * 3 + -2x * 3) + -2(12 + 3x) = 18 (12 + -6x) + -2(12 + 3x) = 18 12 + -6x + (12 * -2 + 3x * -2) = 18 12 + -6x + (-24 + -6x) = 18 Reorder the terms: 12 + -24 + -6x + -6x = 18 Combine like terms: 12 + -24 = -12 -12 + -6x + -6x = 18 Combine like terms: -6x + -6x = -12x -12 + -12x = 18 Solving -12 + -12x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -12x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = 18 + 12 -12x = 18 + 12 Combine like terms: 18 + 12 = 30 -12x = 30 Divide each side by '-12'. x = -2.5 Simplifying x = -2.5
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