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Simplifying 3(3x + 9) + -24 = 45 + -3(6x + -4) Reorder the terms: 3(9 + 3x) + -24 = 45 + -3(6x + -4) (9 * 3 + 3x * 3) + -24 = 45 + -3(6x + -4) (27 + 9x) + -24 = 45 + -3(6x + -4) Reorder the terms: 27 + -24 + 9x = 45 + -3(6x + -4) Combine like terms: 27 + -24 = 3 3 + 9x = 45 + -3(6x + -4) Reorder the terms: 3 + 9x = 45 + -3(-4 + 6x) 3 + 9x = 45 + (-4 * -3 + 6x * -3) 3 + 9x = 45 + (12 + -18x) Combine like terms: 45 + 12 = 57 3 + 9x = 57 + -18x Solving 3 + 9x = 57 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 3 + 9x + 18x = 57 + -18x + 18x Combine like terms: 9x + 18x = 27x 3 + 27x = 57 + -18x + 18x Combine like terms: -18x + 18x = 0 3 + 27x = 57 + 0 3 + 27x = 57 Add '-3' to each side of the equation. 3 + -3 + 27x = 57 + -3 Combine like terms: 3 + -3 = 0 0 + 27x = 57 + -3 27x = 57 + -3 Combine like terms: 57 + -3 = 54 27x = 54 Divide each side by '27'. x = 2 Simplifying x = 2
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