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Simplifying [5(5x + -5) + -120] * 5 + -25 = 125 Reorder the terms: [5(-5 + 5x) + -120] * 5 + -25 = 125 [(-5 * 5 + 5x * 5) + -120] * 5 + -25 = 125 [(-25 + 25x) + -120] * 5 + -25 = 125 Reorder the terms: [-25 + -120 + 25x] * 5 + -25 = 125 Combine like terms: -25 + -120 = -145 [-145 + 25x] * 5 + -25 = 125 Reorder the terms for easier multiplication: 5[-145 + 25x] + -25 = 125 [-145 * 5 + 25x * 5] + -25 = 125 [-725 + 125x] + -25 = 125 Reorder the terms: -725 + -25 + 125x = 125 Combine like terms: -725 + -25 = -750 -750 + 125x = 125 Solving -750 + 125x = 125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '750' to each side of the equation. -750 + 750 + 125x = 125 + 750 Combine like terms: -750 + 750 = 0 0 + 125x = 125 + 750 125x = 125 + 750 Combine like terms: 125 + 750 = 875 125x = 875 Divide each side by '125'. x = 7 Simplifying x = 7
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