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Simplifying 3(2x + 1) = 12x + 5 Reorder the terms: 3(1 + 2x) = 12x + 5 (1 * 3 + 2x * 3) = 12x + 5 (3 + 6x) = 12x + 5 Reorder the terms: 3 + 6x = 5 + 12x Solving 3 + 6x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 6x + -12x = 5 + 12x + -12x Combine like terms: 6x + -12x = -6x 3 + -6x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -6x = 5 + 0 3 + -6x = 5 Add '-3' to each side of the equation. 3 + -3 + -6x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 5 + -3 -6x = 5 + -3 Combine like terms: 5 + -3 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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