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Simplifying 175x + 1700 = 150x + 2500 Reorder the terms: 1700 + 175x = 150x + 2500 Reorder the terms: 1700 + 175x = 2500 + 150x Solving 1700 + 175x = 2500 + 150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150x' to each side of the equation. 1700 + 175x + -150x = 2500 + 150x + -150x Combine like terms: 175x + -150x = 25x 1700 + 25x = 2500 + 150x + -150x Combine like terms: 150x + -150x = 0 1700 + 25x = 2500 + 0 1700 + 25x = 2500 Add '-1700' to each side of the equation. 1700 + -1700 + 25x = 2500 + -1700 Combine like terms: 1700 + -1700 = 0 0 + 25x = 2500 + -1700 25x = 2500 + -1700 Combine like terms: 2500 + -1700 = 800 25x = 800 Divide each side by '25'. x = 32 Simplifying x = 32
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