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Simplifying 2(3x + 1) = 4(x + 5) Reorder the terms: 2(1 + 3x) = 4(x + 5) (1 * 2 + 3x * 2) = 4(x + 5) (2 + 6x) = 4(x + 5) Reorder the terms: 2 + 6x = 4(5 + x) 2 + 6x = (5 * 4 + x * 4) 2 + 6x = (20 + 4x) Solving 2 + 6x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 6x + -4x = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x 2 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 2x = 20 + 0 2 + 2x = 20 Add '-2' to each side of the equation. 2 + -2 + 2x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 20 + -2 2x = 20 + -2 Combine like terms: 20 + -2 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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