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Simplifying -3(3 + x) + 6(x + 4) = 0 (3 * -3 + x * -3) + 6(x + 4) = 0 (-9 + -3x) + 6(x + 4) = 0 Reorder the terms: -9 + -3x + 6(4 + x) = 0 -9 + -3x + (4 * 6 + x * 6) = 0 -9 + -3x + (24 + 6x) = 0 Reorder the terms: -9 + 24 + -3x + 6x = 0 Combine like terms: -9 + 24 = 15 15 + -3x + 6x = 0 Combine like terms: -3x + 6x = 3x 15 + 3x = 0 Solving 15 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 0 + -15 3x = 0 + -15 Combine like terms: 0 + -15 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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