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Simplifying 6x + 2 = 6(3x + -4) Reorder the terms: 2 + 6x = 6(3x + -4) Reorder the terms: 2 + 6x = 6(-4 + 3x) 2 + 6x = (-4 * 6 + 3x * 6) 2 + 6x = (-24 + 18x) Solving 2 + 6x = -24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 2 + 6x + -18x = -24 + 18x + -18x Combine like terms: 6x + -18x = -12x 2 + -12x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 2 + -12x = -24 + 0 2 + -12x = -24 Add '-2' to each side of the equation. 2 + -2 + -12x = -24 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = -24 + -2 -12x = -24 + -2 Combine like terms: -24 + -2 = -26 -12x = -26 Divide each side by '-12'. x = 2.166666667 Simplifying x = 2.166666667
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