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Simplifying 5x + 200 = 2x + 100 Reorder the terms: 200 + 5x = 2x + 100 Reorder the terms: 200 + 5x = 100 + 2x Solving 200 + 5x = 100 + 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. 200 + 5x + -2x = 100 + 2x + -2x Combine like terms: 5x + -2x = 3x 200 + 3x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 200 + 3x = 100 + 0 200 + 3x = 100 Add '-200' to each side of the equation. 200 + -200 + 3x = 100 + -200 Combine like terms: 200 + -200 = 0 0 + 3x = 100 + -200 3x = 100 + -200 Combine like terms: 100 + -200 = -100 3x = -100 Divide each side by '3'. x = -33.33333333 Simplifying x = -33.33333333
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