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Simplifying 2(6x + 1) = 3(2x + -4) Reorder the terms: 2(1 + 6x) = 3(2x + -4) (1 * 2 + 6x * 2) = 3(2x + -4) (2 + 12x) = 3(2x + -4) Reorder the terms: 2 + 12x = 3(-4 + 2x) 2 + 12x = (-4 * 3 + 2x * 3) 2 + 12x = (-12 + 6x) Solving 2 + 12x = -12 + 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. 2 + 12x + -6x = -12 + 6x + -6x Combine like terms: 12x + -6x = 6x 2 + 6x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 6x = -12 + 0 2 + 6x = -12 Add '-2' to each side of the equation. 2 + -2 + 6x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -12 + -2 6x = -12 + -2 Combine like terms: -12 + -2 = -14 6x = -14 Divide each side by '6'. x = -2.333333333 Simplifying x = -2.333333333
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