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Simplifying 1200x + 1000 = 1175x + 1500 Reorder the terms: 1000 + 1200x = 1175x + 1500 Reorder the terms: 1000 + 1200x = 1500 + 1175x Solving 1000 + 1200x = 1500 + 1175x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1175x' to each side of the equation. 1000 + 1200x + -1175x = 1500 + 1175x + -1175x Combine like terms: 1200x + -1175x = 25x 1000 + 25x = 1500 + 1175x + -1175x Combine like terms: 1175x + -1175x = 0 1000 + 25x = 1500 + 0 1000 + 25x = 1500 Add '-1000' to each side of the equation. 1000 + -1000 + 25x = 1500 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 25x = 1500 + -1000 25x = 1500 + -1000 Combine like terms: 1500 + -1000 = 500 25x = 500 Divide each side by '25'. x = 20 Simplifying x = 20
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