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Simplifying 9(x + 2) + -2(x + 9) = 51 Reorder the terms: 9(2 + x) + -2(x + 9) = 51 (2 * 9 + x * 9) + -2(x + 9) = 51 (18 + 9x) + -2(x + 9) = 51 Reorder the terms: 18 + 9x + -2(9 + x) = 51 18 + 9x + (9 * -2 + x * -2) = 51 18 + 9x + (-18 + -2x) = 51 Reorder the terms: 18 + -18 + 9x + -2x = 51 Combine like terms: 18 + -18 = 0 0 + 9x + -2x = 51 9x + -2x = 51 Combine like terms: 9x + -2x = 7x 7x = 51 Solving 7x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '7'. x = 7.285714286 Simplifying x = 7.285714286
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