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Simplifying 3(x + -3) + -2(x + 4) = 12 Reorder the terms: 3(-3 + x) + -2(x + 4) = 12 (-3 * 3 + x * 3) + -2(x + 4) = 12 (-9 + 3x) + -2(x + 4) = 12 Reorder the terms: -9 + 3x + -2(4 + x) = 12 -9 + 3x + (4 * -2 + x * -2) = 12 -9 + 3x + (-8 + -2x) = 12 Reorder the terms: -9 + -8 + 3x + -2x = 12 Combine like terms: -9 + -8 = -17 -17 + 3x + -2x = 12 Combine like terms: 3x + -2x = 1x -17 + 1x = 12 Solving -17 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1x = 12 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 12 + 17 1x = 12 + 17 Combine like terms: 12 + 17 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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