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Simplifying 500 + 0.50x = 100 + x Solving 500 + 0.50x = 100 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 500 + 0.50x + -1x = 100 + x + -1x Combine like terms: 0.50x + -1x = -0.5x 500 + -0.5x = 100 + x + -1x Combine like terms: x + -1x = 0 500 + -0.5x = 100 + 0 500 + -0.5x = 100 Add '-500' to each side of the equation. 500 + -500 + -0.5x = 100 + -500 Combine like terms: 500 + -500 = 0 0 + -0.5x = 100 + -500 -0.5x = 100 + -500 Combine like terms: 100 + -500 = -400 -0.5x = -400 Divide each side by '-0.5'. x = 800 Simplifying x = 800
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