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Simplifying 1170 = 26(x + 15) Reorder the terms: 1170 = 26(15 + x) 1170 = (15 * 26 + x * 26) 1170 = (390 + 26x) Solving 1170 = 390 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 1170 + -26x = 390 + 26x + -26x Combine like terms: 26x + -26x = 0 1170 + -26x = 390 + 0 1170 + -26x = 390 Add '-1170' to each side of the equation. 1170 + -1170 + -26x = 390 + -1170 Combine like terms: 1170 + -1170 = 0 0 + -26x = 390 + -1170 -26x = 390 + -1170 Combine like terms: 390 + -1170 = -780 -26x = -780 Divide each side by '-26'. x = 30 Simplifying x = 30
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