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Simplifying 8(3x + 3) = 3(9x + -9) Reorder the terms: 8(3 + 3x) = 3(9x + -9) (3 * 8 + 3x * 8) = 3(9x + -9) (24 + 24x) = 3(9x + -9) Reorder the terms: 24 + 24x = 3(-9 + 9x) 24 + 24x = (-9 * 3 + 9x * 3) 24 + 24x = (-27 + 27x) Solving 24 + 24x = -27 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 24 + 24x + -27x = -27 + 27x + -27x Combine like terms: 24x + -27x = -3x 24 + -3x = -27 + 27x + -27x Combine like terms: 27x + -27x = 0 24 + -3x = -27 + 0 24 + -3x = -27 Add '-24' to each side of the equation. 24 + -24 + -3x = -27 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -27 + -24 -3x = -27 + -24 Combine like terms: -27 + -24 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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