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Simplifying 2(5x + 50) = 2(6x + 20) Reorder the terms: 2(50 + 5x) = 2(6x + 20) (50 * 2 + 5x * 2) = 2(6x + 20) (100 + 10x) = 2(6x + 20) Reorder the terms: 100 + 10x = 2(20 + 6x) 100 + 10x = (20 * 2 + 6x * 2) 100 + 10x = (40 + 12x) Solving 100 + 10x = 40 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 100 + 10x + -12x = 40 + 12x + -12x Combine like terms: 10x + -12x = -2x 100 + -2x = 40 + 12x + -12x Combine like terms: 12x + -12x = 0 100 + -2x = 40 + 0 100 + -2x = 40 Add '-100' to each side of the equation. 100 + -100 + -2x = 40 + -100 Combine like terms: 100 + -100 = 0 0 + -2x = 40 + -100 -2x = 40 + -100 Combine like terms: 40 + -100 = -60 -2x = -60 Divide each side by '-2'. x = 30 Simplifying x = 30
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