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Simplifying 26(90 + -1x) = 11(180 + -1x) (90 * 26 + -1x * 26) = 11(180 + -1x) (2340 + -26x) = 11(180 + -1x) 2340 + -26x = (180 * 11 + -1x * 11) 2340 + -26x = (1980 + -11x) Solving 2340 + -26x = 1980 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 2340 + -26x + 11x = 1980 + -11x + 11x Combine like terms: -26x + 11x = -15x 2340 + -15x = 1980 + -11x + 11x Combine like terms: -11x + 11x = 0 2340 + -15x = 1980 + 0 2340 + -15x = 1980 Add '-2340' to each side of the equation. 2340 + -2340 + -15x = 1980 + -2340 Combine like terms: 2340 + -2340 = 0 0 + -15x = 1980 + -2340 -15x = 1980 + -2340 Combine like terms: 1980 + -2340 = -360 -15x = -360 Divide each side by '-15'. x = 24 Simplifying x = 24
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