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Simplifying 3x + 500 + 200 = 4x + 500 Reorder the terms: 500 + 200 + 3x = 4x + 500 Combine like terms: 500 + 200 = 700 700 + 3x = 4x + 500 Reorder the terms: 700 + 3x = 500 + 4x Solving 700 + 3x = 500 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 700 + 3x + -4x = 500 + 4x + -4x Combine like terms: 3x + -4x = -1x 700 + -1x = 500 + 4x + -4x Combine like terms: 4x + -4x = 0 700 + -1x = 500 + 0 700 + -1x = 500 Add '-700' to each side of the equation. 700 + -700 + -1x = 500 + -700 Combine like terms: 700 + -700 = 0 0 + -1x = 500 + -700 -1x = 500 + -700 Combine like terms: 500 + -700 = -200 -1x = -200 Divide each side by '-1'. x = 200 Simplifying x = 200
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