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Simplifying (10x + 50) = (5x + 40) Reorder the terms: (50 + 10x) = (5x + 40) Remove parenthesis around (50 + 10x) 50 + 10x = (5x + 40) Reorder the terms: 50 + 10x = (40 + 5x) Remove parenthesis around (40 + 5x) 50 + 10x = 40 + 5x Solving 50 + 10x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 50 + 10x + -5x = 40 + 5x + -5x Combine like terms: 10x + -5x = 5x 50 + 5x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 50 + 5x = 40 + 0 50 + 5x = 40 Add '-50' to each side of the equation. 50 + -50 + 5x = 40 + -50 Combine like terms: 50 + -50 = 0 0 + 5x = 40 + -50 5x = 40 + -50 Combine like terms: 40 + -50 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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