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Simplifying 175 = 5(x + -65) + 75 Reorder the terms: 175 = 5(-65 + x) + 75 175 = (-65 * 5 + x * 5) + 75 175 = (-325 + 5x) + 75 Reorder the terms: 175 = -325 + 75 + 5x Combine like terms: -325 + 75 = -250 175 = -250 + 5x Solving 175 = -250 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 175 + -5x = -250 + 5x + -5x Combine like terms: 5x + -5x = 0 175 + -5x = -250 + 0 175 + -5x = -250 Add '-175' to each side of the equation. 175 + -175 + -5x = -250 + -175 Combine like terms: 175 + -175 = 0 0 + -5x = -250 + -175 -5x = -250 + -175 Combine like terms: -250 + -175 = -425 -5x = -425 Divide each side by '-5'. x = 85 Simplifying x = 85
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