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Simplifying 150x + -125x + 38200 = 40800 + -175x Reorder the terms: 38200 + 150x + -125x = 40800 + -175x Combine like terms: 150x + -125x = 25x 38200 + 25x = 40800 + -175x Solving 38200 + 25x = 40800 + -175x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '175x' to each side of the equation. 38200 + 25x + 175x = 40800 + -175x + 175x Combine like terms: 25x + 175x = 200x 38200 + 200x = 40800 + -175x + 175x Combine like terms: -175x + 175x = 0 38200 + 200x = 40800 + 0 38200 + 200x = 40800 Add '-38200' to each side of the equation. 38200 + -38200 + 200x = 40800 + -38200 Combine like terms: 38200 + -38200 = 0 0 + 200x = 40800 + -38200 200x = 40800 + -38200 Combine like terms: 40800 + -38200 = 2600 200x = 2600 Divide each side by '200'. x = 13 Simplifying x = 13
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