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Simplifying 4(3x + 1) = 2(5x + 10) Reorder the terms: 4(1 + 3x) = 2(5x + 10) (1 * 4 + 3x * 4) = 2(5x + 10) (4 + 12x) = 2(5x + 10) Reorder the terms: 4 + 12x = 2(10 + 5x) 4 + 12x = (10 * 2 + 5x * 2) 4 + 12x = (20 + 10x) Solving 4 + 12x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 12x + -10x = 20 + 10x + -10x Combine like terms: 12x + -10x = 2x 4 + 2x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + 2x = 20 + 0 4 + 2x = 20 Add '-4' to each side of the equation. 4 + -4 + 2x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 20 + -4 2x = 20 + -4 Combine like terms: 20 + -4 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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