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Simplifying 9(x + 6) = 3(x + 34) Reorder the terms: 9(6 + x) = 3(x + 34) (6 * 9 + x * 9) = 3(x + 34) (54 + 9x) = 3(x + 34) Reorder the terms: 54 + 9x = 3(34 + x) 54 + 9x = (34 * 3 + x * 3) 54 + 9x = (102 + 3x) Solving 54 + 9x = 102 + 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 + 9x + -3x = 102 + 3x + -3x Combine like terms: 9x + -3x = 6x 54 + 6x = 102 + 3x + -3x Combine like terms: 3x + -3x = 0 54 + 6x = 102 + 0 54 + 6x = 102 Add '-54' to each side of the equation. 54 + -54 + 6x = 102 + -54 Combine like terms: 54 + -54 = 0 0 + 6x = 102 + -54 6x = 102 + -54 Combine like terms: 102 + -54 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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