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