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Simplifying 3(3x + 4) = 2(2x + -9) Reorder the terms: 3(4 + 3x) = 2(2x + -9) (4 * 3 + 3x * 3) = 2(2x + -9) (12 + 9x) = 2(2x + -9) Reorder the terms: 12 + 9x = 2(-9 + 2x) 12 + 9x = (-9 * 2 + 2x * 2) 12 + 9x = (-18 + 4x) Solving 12 + 9x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 9x + -4x = -18 + 4x + -4x Combine like terms: 9x + -4x = 5x 12 + 5x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 5x = -18 + 0 12 + 5x = -18 Add '-12' to each side of the equation. 12 + -12 + 5x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -18 + -12 5x = -18 + -12 Combine like terms: -18 + -12 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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