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Simplifying 1275 = 17(x + 25) Reorder the terms: 1275 = 17(25 + x) 1275 = (25 * 17 + x * 17) 1275 = (425 + 17x) Solving 1275 = 425 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 1275 + -17x = 425 + 17x + -17x Combine like terms: 17x + -17x = 0 1275 + -17x = 425 + 0 1275 + -17x = 425 Add '-1275' to each side of the equation. 1275 + -1275 + -17x = 425 + -1275 Combine like terms: 1275 + -1275 = 0 0 + -17x = 425 + -1275 -17x = 425 + -1275 Combine like terms: 425 + -1275 = -850 -17x = -850 Divide each side by '-17'. x = 50 Simplifying x = 50
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