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Simplifying 275 = 10(x + -55) + 75 Reorder the terms: 275 = 10(-55 + x) + 75 275 = (-55 * 10 + x * 10) + 75 275 = (-550 + 10x) + 75 Reorder the terms: 275 = -550 + 75 + 10x Combine like terms: -550 + 75 = -475 275 = -475 + 10x Solving 275 = -475 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 275 + -10x = -475 + 10x + -10x Combine like terms: 10x + -10x = 0 275 + -10x = -475 + 0 275 + -10x = -475 Add '-275' to each side of the equation. 275 + -275 + -10x = -475 + -275 Combine like terms: 275 + -275 = 0 0 + -10x = -475 + -275 -10x = -475 + -275 Combine like terms: -475 + -275 = -750 -10x = -750 Divide each side by '-10'. x = 75 Simplifying x = 75
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