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Simplifying 40x + 23(460 + -1x) = 13742 40x + (460 * 23 + -1x * 23) = 13742 40x + (10580 + -23x) = 13742 Reorder the terms: 10580 + 40x + -23x = 13742 Combine like terms: 40x + -23x = 17x 10580 + 17x = 13742 Solving 10580 + 17x = 13742 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10580' to each side of the equation. 10580 + -10580 + 17x = 13742 + -10580 Combine like terms: 10580 + -10580 = 0 0 + 17x = 13742 + -10580 17x = 13742 + -10580 Combine like terms: 13742 + -10580 = 3162 17x = 3162 Divide each side by '17'. x = 186 Simplifying x = 186
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