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Simplifying 9(x + 5) + -1(7x + 2) = 0 Reorder the terms: 9(5 + x) + -1(7x + 2) = 0 (5 * 9 + x * 9) + -1(7x + 2) = 0 (45 + 9x) + -1(7x + 2) = 0 Reorder the terms: 45 + 9x + -1(2 + 7x) = 0 45 + 9x + (2 * -1 + 7x * -1) = 0 45 + 9x + (-2 + -7x) = 0 Reorder the terms: 45 + -2 + 9x + -7x = 0 Combine like terms: 45 + -2 = 43 43 + 9x + -7x = 0 Combine like terms: 9x + -7x = 2x 43 + 2x = 0 Solving 43 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 2x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 2x = 0 + -43 2x = 0 + -43 Combine like terms: 0 + -43 = -43 2x = -43 Divide each side by '2'. x = -21.5 Simplifying x = -21.5
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