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Simplifying 3(2x + -3) + -3(x + -4) = 27 Reorder the terms: 3(-3 + 2x) + -3(x + -4) = 27 (-3 * 3 + 2x * 3) + -3(x + -4) = 27 (-9 + 6x) + -3(x + -4) = 27 Reorder the terms: -9 + 6x + -3(-4 + x) = 27 -9 + 6x + (-4 * -3 + x * -3) = 27 -9 + 6x + (12 + -3x) = 27 Reorder the terms: -9 + 12 + 6x + -3x = 27 Combine like terms: -9 + 12 = 3 3 + 6x + -3x = 27 Combine like terms: 6x + -3x = 3x 3 + 3x = 27 Solving 3 + 3x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 27 + -3 3x = 27 + -3 Combine like terms: 27 + -3 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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