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Simplifying 40x + 23(465 + -1x) = 13500 40x + (465 * 23 + -1x * 23) = 13500 40x + (10695 + -23x) = 13500 Reorder the terms: 10695 + 40x + -23x = 13500 Combine like terms: 40x + -23x = 17x 10695 + 17x = 13500 Solving 10695 + 17x = 13500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10695' to each side of the equation. 10695 + -10695 + 17x = 13500 + -10695 Combine like terms: 10695 + -10695 = 0 0 + 17x = 13500 + -10695 17x = 13500 + -10695 Combine like terms: 13500 + -10695 = 2805 17x = 2805 Divide each side by '17'. x = 165 Simplifying x = 165
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