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Simplifying 2(x + -3) + -4(3x + -2) = 12 Reorder the terms: 2(-3 + x) + -4(3x + -2) = 12 (-3 * 2 + x * 2) + -4(3x + -2) = 12 (-6 + 2x) + -4(3x + -2) = 12 Reorder the terms: -6 + 2x + -4(-2 + 3x) = 12 -6 + 2x + (-2 * -4 + 3x * -4) = 12 -6 + 2x + (8 + -12x) = 12 Reorder the terms: -6 + 8 + 2x + -12x = 12 Combine like terms: -6 + 8 = 2 2 + 2x + -12x = 12 Combine like terms: 2x + -12x = -10x 2 + -10x = 12 Solving 2 + -10x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -10x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 12 + -2 -10x = 12 + -2 Combine like terms: 12 + -2 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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