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Simplifying 2(3x + 1) + 6 = 4(x + 20) Reorder the terms: 2(1 + 3x) + 6 = 4(x + 20) (1 * 2 + 3x * 2) + 6 = 4(x + 20) (2 + 6x) + 6 = 4(x + 20) Reorder the terms: 2 + 6 + 6x = 4(x + 20) Combine like terms: 2 + 6 = 8 8 + 6x = 4(x + 20) Reorder the terms: 8 + 6x = 4(20 + x) 8 + 6x = (20 * 4 + x * 4) 8 + 6x = (80 + 4x) Solving 8 + 6x = 80 + 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. 8 + 6x + -4x = 80 + 4x + -4x Combine like terms: 6x + -4x = 2x 8 + 2x = 80 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 2x = 80 + 0 8 + 2x = 80 Add '-8' to each side of the equation. 8 + -8 + 2x = 80 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 80 + -8 2x = 80 + -8 Combine like terms: 80 + -8 = 72 2x = 72 Divide each side by '2'. x = 36 Simplifying x = 36
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