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Simplifying 175 = 5(x + -50) + 50 Reorder the terms: 175 = 5(-50 + x) + 50 175 = (-50 * 5 + x * 5) + 50 175 = (-250 + 5x) + 50 Reorder the terms: 175 = -250 + 50 + 5x Combine like terms: -250 + 50 = -200 175 = -200 + 5x Solving 175 = -200 + 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 = -200 + 5x + -5x Combine like terms: 5x + -5x = 0 175 + -5x = -200 + 0 175 + -5x = -200 Add '-175' to each side of the equation. 175 + -175 + -5x = -200 + -175 Combine like terms: 175 + -175 = 0 0 + -5x = -200 + -175 -5x = -200 + -175 Combine like terms: -200 + -175 = -375 -5x = -375 Divide each side by '-5'. x = 75 Simplifying x = 75
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