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Simplifying 2x + 1000 = 5x + 100 Reorder the terms: 1000 + 2x = 5x + 100 Reorder the terms: 1000 + 2x = 100 + 5x Solving 1000 + 2x = 100 + 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. 1000 + 2x + -5x = 100 + 5x + -5x Combine like terms: 2x + -5x = -3x 1000 + -3x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 1000 + -3x = 100 + 0 1000 + -3x = 100 Add '-1000' to each side of the equation. 1000 + -1000 + -3x = 100 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -3x = 100 + -1000 -3x = 100 + -1000 Combine like terms: 100 + -1000 = -900 -3x = -900 Divide each side by '-3'. x = 300 Simplifying x = 300
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