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Simplifying 9(x + 5) + -1(2x + -7) = 2 Reorder the terms: 9(5 + x) + -1(2x + -7) = 2 (5 * 9 + x * 9) + -1(2x + -7) = 2 (45 + 9x) + -1(2x + -7) = 2 Reorder the terms: 45 + 9x + -1(-7 + 2x) = 2 45 + 9x + (-7 * -1 + 2x * -1) = 2 45 + 9x + (7 + -2x) = 2 Reorder the terms: 45 + 7 + 9x + -2x = 2 Combine like terms: 45 + 7 = 52 52 + 9x + -2x = 2 Combine like terms: 9x + -2x = 7x 52 + 7x = 2 Solving 52 + 7x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 7x = 2 + -52 Combine like terms: 52 + -52 = 0 0 + 7x = 2 + -52 7x = 2 + -52 Combine like terms: 2 + -52 = -50 7x = -50 Divide each side by '7'. x = -7.142857143 Simplifying x = -7.142857143
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