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Simplifying 40x + -1000 = -5x + 2150 Reorder the terms: -1000 + 40x = -5x + 2150 Reorder the terms: -1000 + 40x = 2150 + -5x Solving -1000 + 40x = 2150 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -1000 + 40x + 5x = 2150 + -5x + 5x Combine like terms: 40x + 5x = 45x -1000 + 45x = 2150 + -5x + 5x Combine like terms: -5x + 5x = 0 -1000 + 45x = 2150 + 0 -1000 + 45x = 2150 Add '1000' to each side of the equation. -1000 + 1000 + 45x = 2150 + 1000 Combine like terms: -1000 + 1000 = 0 0 + 45x = 2150 + 1000 45x = 2150 + 1000 Combine like terms: 2150 + 1000 = 3150 45x = 3150 Divide each side by '45'. x = 70 Simplifying x = 70
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