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Simplifying 6(x + 9) = 3(8 + 3x) Reorder the terms: 6(9 + x) = 3(8 + 3x) (9 * 6 + x * 6) = 3(8 + 3x) (54 + 6x) = 3(8 + 3x) 54 + 6x = (8 * 3 + 3x * 3) 54 + 6x = (24 + 9x) Solving 54 + 6x = 24 + 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. 54 + 6x + -9x = 24 + 9x + -9x Combine like terms: 6x + -9x = -3x 54 + -3x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 54 + -3x = 24 + 0 54 + -3x = 24 Add '-54' to each side of the equation. 54 + -54 + -3x = 24 + -54 Combine like terms: 54 + -54 = 0 0 + -3x = 24 + -54 -3x = 24 + -54 Combine like terms: 24 + -54 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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