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Simplifying 3(x + 3) = 6(2x + -9) Reorder the terms: 3(3 + x) = 6(2x + -9) (3 * 3 + x * 3) = 6(2x + -9) (9 + 3x) = 6(2x + -9) Reorder the terms: 9 + 3x = 6(-9 + 2x) 9 + 3x = (-9 * 6 + 2x * 6) 9 + 3x = (-54 + 12x) Solving 9 + 3x = -54 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 3x + -12x = -54 + 12x + -12x Combine like terms: 3x + -12x = -9x 9 + -9x = -54 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -9x = -54 + 0 9 + -9x = -54 Add '-9' to each side of the equation. 9 + -9 + -9x = -54 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = -54 + -9 -9x = -54 + -9 Combine like terms: -54 + -9 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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