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Simplifying 2(x + -3) + -1(x + -4) = 12 Reorder the terms: 2(-3 + x) + -1(x + -4) = 12 (-3 * 2 + x * 2) + -1(x + -4) = 12 (-6 + 2x) + -1(x + -4) = 12 Reorder the terms: -6 + 2x + -1(-4 + x) = 12 -6 + 2x + (-4 * -1 + x * -1) = 12 -6 + 2x + (4 + -1x) = 12 Reorder the terms: -6 + 4 + 2x + -1x = 12 Combine like terms: -6 + 4 = -2 -2 + 2x + -1x = 12 Combine like terms: 2x + -1x = 1x -2 + 1x = 12 Solving -2 + 1x = 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 + 1x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 12 + 2 1x = 12 + 2 Combine like terms: 12 + 2 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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