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Simplifying 5(9x + 9) + 5(10 + -1x) = 0 Reorder the terms: 5(9 + 9x) + 5(10 + -1x) = 0 (9 * 5 + 9x * 5) + 5(10 + -1x) = 0 (45 + 45x) + 5(10 + -1x) = 0 45 + 45x + (10 * 5 + -1x * 5) = 0 45 + 45x + (50 + -5x) = 0 Reorder the terms: 45 + 50 + 45x + -5x = 0 Combine like terms: 45 + 50 = 95 95 + 45x + -5x = 0 Combine like terms: 45x + -5x = 40x 95 + 40x = 0 Solving 95 + 40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 40x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + 40x = 0 + -95 40x = 0 + -95 Combine like terms: 0 + -95 = -95 40x = -95 Divide each side by '40'. x = -2.375 Simplifying x = -2.375
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