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