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Simplifying 10 * 12 + 90x = 50(40 + x) Multiply 10 * 12 120 + 90x = 50(40 + x) 120 + 90x = (40 * 50 + x * 50) 120 + 90x = (2000 + 50x) Solving 120 + 90x = 2000 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 120 + 90x + -50x = 2000 + 50x + -50x Combine like terms: 90x + -50x = 40x 120 + 40x = 2000 + 50x + -50x Combine like terms: 50x + -50x = 0 120 + 40x = 2000 + 0 120 + 40x = 2000 Add '-120' to each side of the equation. 120 + -120 + 40x = 2000 + -120 Combine like terms: 120 + -120 = 0 0 + 40x = 2000 + -120 40x = 2000 + -120 Combine like terms: 2000 + -120 = 1880 40x = 1880 Divide each side by '40'. x = 47 Simplifying x = 47
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