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Simplifying -10(10x + 1) + 10(-9x + 3) = 0 Reorder the terms: -10(1 + 10x) + 10(-9x + 3) = 0 (1 * -10 + 10x * -10) + 10(-9x + 3) = 0 (-10 + -100x) + 10(-9x + 3) = 0 Reorder the terms: -10 + -100x + 10(3 + -9x) = 0 -10 + -100x + (3 * 10 + -9x * 10) = 0 -10 + -100x + (30 + -90x) = 0 Reorder the terms: -10 + 30 + -100x + -90x = 0 Combine like terms: -10 + 30 = 20 20 + -100x + -90x = 0 Combine like terms: -100x + -90x = -190x 20 + -190x = 0 Solving 20 + -190x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -190x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -190x = 0 + -20 -190x = 0 + -20 Combine like terms: 0 + -20 = -20 -190x = -20 Divide each side by '-190'. x = 0.1052631579 Simplifying x = 0.1052631579
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