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Simplifying 6(2x + 1) = 6x + 2 Reorder the terms: 6(1 + 2x) = 6x + 2 (1 * 6 + 2x * 6) = 6x + 2 (6 + 12x) = 6x + 2 Reorder the terms: 6 + 12x = 2 + 6x Solving 6 + 12x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 12x + -6x = 2 + 6x + -6x Combine like terms: 12x + -6x = 6x 6 + 6x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 6x = 2 + 0 6 + 6x = 2 Add '-6' to each side of the equation. 6 + -6 + 6x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 2 + -6 6x = 2 + -6 Combine like terms: 2 + -6 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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