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Simplifying 3x + 100 = 2x + 100 + 200 Reorder the terms: 100 + 3x = 2x + 100 + 200 Reorder the terms: 100 + 3x = 100 + 200 + 2x Combine like terms: 100 + 200 = 300 100 + 3x = 300 + 2x Solving 100 + 3x = 300 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 100 + 3x + -2x = 300 + 2x + -2x Combine like terms: 3x + -2x = 1x 100 + 1x = 300 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + 1x = 300 + 0 100 + 1x = 300 Add '-100' to each side of the equation. 100 + -100 + 1x = 300 + -100 Combine like terms: 100 + -100 = 0 0 + 1x = 300 + -100 1x = 300 + -100 Combine like terms: 300 + -100 = 200 1x = 200 Divide each side by '1'. x = 200 Simplifying x = 200
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