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Simplifying 3(x + -3) + -3(8 + 2x) = -12 Reorder the terms: 3(-3 + x) + -3(8 + 2x) = -12 (-3 * 3 + x * 3) + -3(8 + 2x) = -12 (-9 + 3x) + -3(8 + 2x) = -12 -9 + 3x + (8 * -3 + 2x * -3) = -12 -9 + 3x + (-24 + -6x) = -12 Reorder the terms: -9 + -24 + 3x + -6x = -12 Combine like terms: -9 + -24 = -33 -33 + 3x + -6x = -12 Combine like terms: 3x + -6x = -3x -33 + -3x = -12 Solving -33 + -3x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -3x = -12 + 33 Combine like terms: -33 + 33 = 0 0 + -3x = -12 + 33 -3x = -12 + 33 Combine like terms: -12 + 33 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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