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Simplifying 10(2x + 1) + -10(9x + -10) = 0 Reorder the terms: 10(1 + 2x) + -10(9x + -10) = 0 (1 * 10 + 2x * 10) + -10(9x + -10) = 0 (10 + 20x) + -10(9x + -10) = 0 Reorder the terms: 10 + 20x + -10(-10 + 9x) = 0 10 + 20x + (-10 * -10 + 9x * -10) = 0 10 + 20x + (100 + -90x) = 0 Reorder the terms: 10 + 100 + 20x + -90x = 0 Combine like terms: 10 + 100 = 110 110 + 20x + -90x = 0 Combine like terms: 20x + -90x = -70x 110 + -70x = 0 Solving 110 + -70x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + -70x = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -70x = 0 + -110 -70x = 0 + -110 Combine like terms: 0 + -110 = -110 -70x = -110 Divide each side by '-70'. x = 1.571428571 Simplifying x = 1.571428571
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