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Simplifying 500 + -15x = 800 + -35x Solving 500 + -15x = 800 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 500 + -15x + 35x = 800 + -35x + 35x Combine like terms: -15x + 35x = 20x 500 + 20x = 800 + -35x + 35x Combine like terms: -35x + 35x = 0 500 + 20x = 800 + 0 500 + 20x = 800 Add '-500' to each side of the equation. 500 + -500 + 20x = 800 + -500 Combine like terms: 500 + -500 = 0 0 + 20x = 800 + -500 20x = 800 + -500 Combine like terms: 800 + -500 = 300 20x = 300 Divide each side by '20'. x = 15 Simplifying x = 15
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