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Simplifying 0.8x + 125 = 0.7x + 175 Reorder the terms: 125 + 0.8x = 0.7x + 175 Reorder the terms: 125 + 0.8x = 175 + 0.7x Solving 125 + 0.8x = 175 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 125 + 0.8x + -0.7x = 175 + 0.7x + -0.7x Combine like terms: 0.8x + -0.7x = 0.1x 125 + 0.1x = 175 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 125 + 0.1x = 175 + 0.0 125 + 0.1x = 175 Add '-125' to each side of the equation. 125 + -125 + 0.1x = 175 + -125 Combine like terms: 125 + -125 = 0 0 + 0.1x = 175 + -125 0.1x = 175 + -125 Combine like terms: 175 + -125 = 50 0.1x = 50 Divide each side by '0.1'. x = 500 Simplifying x = 500
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