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Simplifying 125 = 10(x + -65) + 75 Reorder the terms: 125 = 10(-65 + x) + 75 125 = (-65 * 10 + x * 10) + 75 125 = (-650 + 10x) + 75 Reorder the terms: 125 = -650 + 75 + 10x Combine like terms: -650 + 75 = -575 125 = -575 + 10x Solving 125 = -575 + 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 = -575 + 10x + -10x Combine like terms: 10x + -10x = 0 125 + -10x = -575 + 0 125 + -10x = -575 Add '-125' to each side of the equation. 125 + -125 + -10x = -575 + -125 Combine like terms: 125 + -125 = 0 0 + -10x = -575 + -125 -10x = -575 + -125 Combine like terms: -575 + -125 = -700 -10x = -700 Divide each side by '-10'. x = 70 Simplifying x = 70
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