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Simplifying 5(4x + 2) = 10(7 + 5x) Reorder the terms: 5(2 + 4x) = 10(7 + 5x) (2 * 5 + 4x * 5) = 10(7 + 5x) (10 + 20x) = 10(7 + 5x) 10 + 20x = (7 * 10 + 5x * 10) 10 + 20x = (70 + 50x) Solving 10 + 20x = 70 + 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. 10 + 20x + -50x = 70 + 50x + -50x Combine like terms: 20x + -50x = -30x 10 + -30x = 70 + 50x + -50x Combine like terms: 50x + -50x = 0 10 + -30x = 70 + 0 10 + -30x = 70 Add '-10' to each side of the equation. 10 + -10 + -30x = 70 + -10 Combine like terms: 10 + -10 = 0 0 + -30x = 70 + -10 -30x = 70 + -10 Combine like terms: 70 + -10 = 60 -30x = 60 Divide each side by '-30'. x = -2 Simplifying x = -2
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