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Simplifying 9x + -1(2x + -9) = 51 Reorder the terms: 9x + -1(-9 + 2x) = 51 9x + (-9 * -1 + 2x * -1) = 51 9x + (9 + -2x) = 51 Reorder the terms: 9 + 9x + -2x = 51 Combine like terms: 9x + -2x = 7x 9 + 7x = 51 Solving 9 + 7x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7x = 51 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 51 + -9 7x = 51 + -9 Combine like terms: 51 + -9 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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