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Simplifying 3(x + -4) + 2(3 + -1x) = 12 Reorder the terms: 3(-4 + x) + 2(3 + -1x) = 12 (-4 * 3 + x * 3) + 2(3 + -1x) = 12 (-12 + 3x) + 2(3 + -1x) = 12 -12 + 3x + (3 * 2 + -1x * 2) = 12 -12 + 3x + (6 + -2x) = 12 Reorder the terms: -12 + 6 + 3x + -2x = 12 Combine like terms: -12 + 6 = -6 -6 + 3x + -2x = 12 Combine like terms: 3x + -2x = 1x -6 + 1x = 12 Solving -6 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 12 + 6 1x = 12 + 6 Combine like terms: 12 + 6 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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