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Simplifying 8(3 + 3x) = 9(x + 2) + 9x (3 * 8 + 3x * 8) = 9(x + 2) + 9x (24 + 24x) = 9(x + 2) + 9x Reorder the terms: 24 + 24x = 9(2 + x) + 9x 24 + 24x = (2 * 9 + x * 9) + 9x 24 + 24x = (18 + 9x) + 9x Combine like terms: 9x + 9x = 18x 24 + 24x = 18 + 18x Solving 24 + 24x = 18 + 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. 24 + 24x + -18x = 18 + 18x + -18x Combine like terms: 24x + -18x = 6x 24 + 6x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 24 + 6x = 18 + 0 24 + 6x = 18 Add '-24' to each side of the equation. 24 + -24 + 6x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 18 + -24 6x = 18 + -24 Combine like terms: 18 + -24 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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