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Simplifying 25(-2x + 10) + 30(5x + 10) = -350 Reorder the terms: 25(10 + -2x) + 30(5x + 10) = -350 (10 * 25 + -2x * 25) + 30(5x + 10) = -350 (250 + -50x) + 30(5x + 10) = -350 Reorder the terms: 250 + -50x + 30(10 + 5x) = -350 250 + -50x + (10 * 30 + 5x * 30) = -350 250 + -50x + (300 + 150x) = -350 Reorder the terms: 250 + 300 + -50x + 150x = -350 Combine like terms: 250 + 300 = 550 550 + -50x + 150x = -350 Combine like terms: -50x + 150x = 100x 550 + 100x = -350 Solving 550 + 100x = -350 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-550' to each side of the equation. 550 + -550 + 100x = -350 + -550 Combine like terms: 550 + -550 = 0 0 + 100x = -350 + -550 100x = -350 + -550 Combine like terms: -350 + -550 = -900 100x = -900 Divide each side by '100'. x = -9 Simplifying x = -9
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