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Simplifying 500 + -7x = 200 + 5x Solving 500 + -7x = 200 + 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. 500 + -7x + -5x = 200 + 5x + -5x Combine like terms: -7x + -5x = -12x 500 + -12x = 200 + 5x + -5x Combine like terms: 5x + -5x = 0 500 + -12x = 200 + 0 500 + -12x = 200 Add '-500' to each side of the equation. 500 + -500 + -12x = 200 + -500 Combine like terms: 500 + -500 = 0 0 + -12x = 200 + -500 -12x = 200 + -500 Combine like terms: 200 + -500 = -300 -12x = -300 Divide each side by '-12'. x = 25 Simplifying x = 25
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