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Simplifying 50(x + -1) = 40x Reorder the terms: 50(-1 + x) = 40x (-1 * 50 + x * 50) = 40x (-50 + 50x) = 40x Solving -50 + 50x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -50 + 50x + -40x = 40x + -40x Combine like terms: 50x + -40x = 10x -50 + 10x = 40x + -40x Combine like terms: 40x + -40x = 0 -50 + 10x = 0 Add '50' to each side of the equation. -50 + 50 + 10x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 10x = 0 + 50 10x = 0 + 50 Combine like terms: 0 + 50 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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