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Simplifying 9(x + 6) + 9(x + 6) = 52 Reorder the terms: 9(6 + x) + 9(x + 6) = 52 (6 * 9 + x * 9) + 9(x + 6) = 52 (54 + 9x) + 9(x + 6) = 52 Reorder the terms: 54 + 9x + 9(6 + x) = 52 54 + 9x + (6 * 9 + x * 9) = 52 54 + 9x + (54 + 9x) = 52 Reorder the terms: 54 + 54 + 9x + 9x = 52 Combine like terms: 54 + 54 = 108 108 + 9x + 9x = 52 Combine like terms: 9x + 9x = 18x 108 + 18x = 52 Solving 108 + 18x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + 18x = 52 + -108 Combine like terms: 108 + -108 = 0 0 + 18x = 52 + -108 18x = 52 + -108 Combine like terms: 52 + -108 = -56 18x = -56 Divide each side by '18'. x = -3.111111111 Simplifying x = -3.111111111
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