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Simplifying 2(x + 4) = 3(3x + -9) Reorder the terms: 2(4 + x) = 3(3x + -9) (4 * 2 + x * 2) = 3(3x + -9) (8 + 2x) = 3(3x + -9) Reorder the terms: 8 + 2x = 3(-9 + 3x) 8 + 2x = (-9 * 3 + 3x * 3) 8 + 2x = (-27 + 9x) Solving 8 + 2x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 2x + -9x = -27 + 9x + -9x Combine like terms: 2x + -9x = -7x 8 + -7x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -7x = -27 + 0 8 + -7x = -27 Add '-8' to each side of the equation. 8 + -8 + -7x = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -27 + -8 -7x = -27 + -8 Combine like terms: -27 + -8 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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