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Simplifying 40x + -1(12 + -1x) * 50 = 120 Reorder the terms for easier multiplication: 40x + -1 * 50(12 + -1x) = 120 Multiply -1 * 50 40x + -50(12 + -1x) = 120 40x + (12 * -50 + -1x * -50) = 120 40x + (-600 + 50x) = 120 Reorder the terms: -600 + 40x + 50x = 120 Combine like terms: 40x + 50x = 90x -600 + 90x = 120 Solving -600 + 90x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '600' to each side of the equation. -600 + 600 + 90x = 120 + 600 Combine like terms: -600 + 600 = 0 0 + 90x = 120 + 600 90x = 120 + 600 Combine like terms: 120 + 600 = 720 90x = 720 Divide each side by '90'. x = 8 Simplifying x = 8
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