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Simplifying 9(x + 5) + -1(5x + -10) = 0 Reorder the terms: 9(5 + x) + -1(5x + -10) = 0 (5 * 9 + x * 9) + -1(5x + -10) = 0 (45 + 9x) + -1(5x + -10) = 0 Reorder the terms: 45 + 9x + -1(-10 + 5x) = 0 45 + 9x + (-10 * -1 + 5x * -1) = 0 45 + 9x + (10 + -5x) = 0 Reorder the terms: 45 + 10 + 9x + -5x = 0 Combine like terms: 45 + 10 = 55 55 + 9x + -5x = 0 Combine like terms: 9x + -5x = 4x 55 + 4x = 0 Solving 55 + 4x = 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 + 4x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 4x = 0 + -55 4x = 0 + -55 Combine like terms: 0 + -55 = -55 4x = -55 Divide each side by '4'. x = -13.75 Simplifying x = -13.75
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