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Simplifying 125x + -100x + 38800 = 40200 + -175x Reorder the terms: 38800 + 125x + -100x = 40200 + -175x Combine like terms: 125x + -100x = 25x 38800 + 25x = 40200 + -175x Solving 38800 + 25x = 40200 + -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. 38800 + 25x + 175x = 40200 + -175x + 175x Combine like terms: 25x + 175x = 200x 38800 + 200x = 40200 + -175x + 175x Combine like terms: -175x + 175x = 0 38800 + 200x = 40200 + 0 38800 + 200x = 40200 Add '-38800' to each side of the equation. 38800 + -38800 + 200x = 40200 + -38800 Combine like terms: 38800 + -38800 = 0 0 + 200x = 40200 + -38800 200x = 40200 + -38800 Combine like terms: 40200 + -38800 = 1400 200x = 1400 Divide each side by '200'. x = 7 Simplifying x = 7
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