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Simplifying 2(x + 5) + 5(9 + -1x) = 0 Reorder the terms: 2(5 + x) + 5(9 + -1x) = 0 (5 * 2 + x * 2) + 5(9 + -1x) = 0 (10 + 2x) + 5(9 + -1x) = 0 10 + 2x + (9 * 5 + -1x * 5) = 0 10 + 2x + (45 + -5x) = 0 Reorder the terms: 10 + 45 + 2x + -5x = 0 Combine like terms: 10 + 45 = 55 55 + 2x + -5x = 0 Combine like terms: 2x + -5x = -3x 55 + -3x = 0 Solving 55 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -3x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -3x = 0 + -55 -3x = 0 + -55 Combine like terms: 0 + -55 = -55 -3x = -55 Divide each side by '-3'. x = 18.33333333 Simplifying x = 18.33333333
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