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Simplifying 6(6x + 4) = 3(3x + -3) Reorder the terms: 6(4 + 6x) = 3(3x + -3) (4 * 6 + 6x * 6) = 3(3x + -3) (24 + 36x) = 3(3x + -3) Reorder the terms: 24 + 36x = 3(-3 + 3x) 24 + 36x = (-3 * 3 + 3x * 3) 24 + 36x = (-9 + 9x) Solving 24 + 36x = -9 + 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. 24 + 36x + -9x = -9 + 9x + -9x Combine like terms: 36x + -9x = 27x 24 + 27x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + 27x = -9 + 0 24 + 27x = -9 Add '-24' to each side of the equation. 24 + -24 + 27x = -9 + -24 Combine like terms: 24 + -24 = 0 0 + 27x = -9 + -24 27x = -9 + -24 Combine like terms: -9 + -24 = -33 27x = -33 Divide each side by '27'. x = -1.222222222 Simplifying x = -1.222222222
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