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Simplifying 6(3x + 3) + -9(3x + -6) = 3x + 18 Reorder the terms: 6(3 + 3x) + -9(3x + -6) = 3x + 18 (3 * 6 + 3x * 6) + -9(3x + -6) = 3x + 18 (18 + 18x) + -9(3x + -6) = 3x + 18 Reorder the terms: 18 + 18x + -9(-6 + 3x) = 3x + 18 18 + 18x + (-6 * -9 + 3x * -9) = 3x + 18 18 + 18x + (54 + -27x) = 3x + 18 Reorder the terms: 18 + 54 + 18x + -27x = 3x + 18 Combine like terms: 18 + 54 = 72 72 + 18x + -27x = 3x + 18 Combine like terms: 18x + -27x = -9x 72 + -9x = 3x + 18 Reorder the terms: 72 + -9x = 18 + 3x Solving 72 + -9x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 72 + -9x + -3x = 18 + 3x + -3x Combine like terms: -9x + -3x = -12x 72 + -12x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 72 + -12x = 18 + 0 72 + -12x = 18 Add '-72' to each side of the equation. 72 + -72 + -12x = 18 + -72 Combine like terms: 72 + -72 = 0 0 + -12x = 18 + -72 -12x = 18 + -72 Combine like terms: 18 + -72 = -54 -12x = -54 Divide each side by '-12'. x = 4.5 Simplifying x = 4.5
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