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Simplifying 9(x + 5) + -1(8 + 7x) = 0 Reorder the terms: 9(5 + x) + -1(8 + 7x) = 0 (5 * 9 + x * 9) + -1(8 + 7x) = 0 (45 + 9x) + -1(8 + 7x) = 0 45 + 9x + (8 * -1 + 7x * -1) = 0 45 + 9x + (-8 + -7x) = 0 Reorder the terms: 45 + -8 + 9x + -7x = 0 Combine like terms: 45 + -8 = 37 37 + 9x + -7x = 0 Combine like terms: 9x + -7x = 2x 37 + 2x = 0 Solving 37 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 2x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 2x = 0 + -37 2x = 0 + -37 Combine like terms: 0 + -37 = -37 2x = -37 Divide each side by '2'. x = -18.5 Simplifying x = -18.5
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