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Simplifying 3(2x + 6) = x + 20 + 3x Reorder the terms: 3(6 + 2x) = x + 20 + 3x (6 * 3 + 2x * 3) = x + 20 + 3x (18 + 6x) = x + 20 + 3x Reorder the terms: 18 + 6x = 20 + x + 3x Combine like terms: x + 3x = 4x 18 + 6x = 20 + 4x Solving 18 + 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. 18 + 6x + -4x = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x 18 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 2x = 20 + 0 18 + 2x = 20 Add '-18' to each side of the equation. 18 + -18 + 2x = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 20 + -18 2x = 20 + -18 Combine like terms: 20 + -18 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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