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Simplifying 175 = 10(x + -55) + 75 Reorder the terms: 175 = 10(-55 + x) + 75 175 = (-55 * 10 + x * 10) + 75 175 = (-550 + 10x) + 75 Reorder the terms: 175 = -550 + 75 + 10x Combine like terms: -550 + 75 = -475 175 = -475 + 10x Solving 175 = -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. 175 + -10x = -475 + 10x + -10x Combine like terms: 10x + -10x = 0 175 + -10x = -475 + 0 175 + -10x = -475 Add '-175' to each side of the equation. 175 + -175 + -10x = -475 + -175 Combine like terms: 175 + -175 = 0 0 + -10x = -475 + -175 -10x = -475 + -175 Combine like terms: -475 + -175 = -650 -10x = -650 Divide each side by '-10'. x = 65 Simplifying x = 65
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