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Simplifying -10(5x + -9) + 10x + -3x = 100 Reorder the terms: -10(-9 + 5x) + 10x + -3x = 100 (-9 * -10 + 5x * -10) + 10x + -3x = 100 (90 + -50x) + 10x + -3x = 100 Combine like terms: -50x + 10x = -40x 90 + -40x + -3x = 100 Combine like terms: -40x + -3x = -43x 90 + -43x = 100 Solving 90 + -43x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -43x = 100 + -90 Combine like terms: 90 + -90 = 0 0 + -43x = 100 + -90 -43x = 100 + -90 Combine like terms: 100 + -90 = 10 -43x = 10 Divide each side by '-43'. x = -0.2325581395 Simplifying x = -0.2325581395
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