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Simplifying 3x + 500 = 5x Reorder the terms: 500 + 3x = 5x Solving 500 + 3x = 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 + 3x + -5x = 5x + -5x Combine like terms: 3x + -5x = -2x 500 + -2x = 5x + -5x Combine like terms: 5x + -5x = 0 500 + -2x = 0 Add '-500' to each side of the equation. 500 + -500 + -2x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -2x = 0 + -500 -2x = 0 + -500 Combine like terms: 0 + -500 = -500 -2x = -500 Divide each side by '-2'. x = 250 Simplifying x = 250
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