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Simplifying 125 = 10(x + -70) + 75 Reorder the terms: 125 = 10(-70 + x) + 75 125 = (-70 * 10 + x * 10) + 75 125 = (-700 + 10x) + 75 Reorder the terms: 125 = -700 + 75 + 10x Combine like terms: -700 + 75 = -625 125 = -625 + 10x Solving 125 = -625 + 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. 125 + -10x = -625 + 10x + -10x Combine like terms: 10x + -10x = 0 125 + -10x = -625 + 0 125 + -10x = -625 Add '-125' to each side of the equation. 125 + -125 + -10x = -625 + -125 Combine like terms: 125 + -125 = 0 0 + -10x = -625 + -125 -10x = -625 + -125 Combine like terms: -625 + -125 = -750 -10x = -750 Divide each side by '-10'. x = 75 Simplifying x = 75
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