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Simplifying 150x + -125x + 38000 = 40600 + -175x Reorder the terms: 38000 + 150x + -125x = 40600 + -175x Combine like terms: 150x + -125x = 25x 38000 + 25x = 40600 + -175x Solving 38000 + 25x = 40600 + -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. 38000 + 25x + 175x = 40600 + -175x + 175x Combine like terms: 25x + 175x = 200x 38000 + 200x = 40600 + -175x + 175x Combine like terms: -175x + 175x = 0 38000 + 200x = 40600 + 0 38000 + 200x = 40600 Add '-38000' to each side of the equation. 38000 + -38000 + 200x = 40600 + -38000 Combine like terms: 38000 + -38000 = 0 0 + 200x = 40600 + -38000 200x = 40600 + -38000 Combine like terms: 40600 + -38000 = 2600 200x = 2600 Divide each side by '200'. x = 13 Simplifying x = 13
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