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Simplifying 175x + -75x + 52525 = 55275 + -175x Reorder the terms: 52525 + 175x + -75x = 55275 + -175x Combine like terms: 175x + -75x = 100x 52525 + 100x = 55275 + -175x Solving 52525 + 100x = 55275 + -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. 52525 + 100x + 175x = 55275 + -175x + 175x Combine like terms: 100x + 175x = 275x 52525 + 275x = 55275 + -175x + 175x Combine like terms: -175x + 175x = 0 52525 + 275x = 55275 + 0 52525 + 275x = 55275 Add '-52525' to each side of the equation. 52525 + -52525 + 275x = 55275 + -52525 Combine like terms: 52525 + -52525 = 0 0 + 275x = 55275 + -52525 275x = 55275 + -52525 Combine like terms: 55275 + -52525 = 2750 275x = 2750 Divide each side by '275'. x = 10 Simplifying x = 10
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