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Simplifying 2(3x + 1) = 4(3x + -5) + 6 Reorder the terms: 2(1 + 3x) = 4(3x + -5) + 6 (1 * 2 + 3x * 2) = 4(3x + -5) + 6 (2 + 6x) = 4(3x + -5) + 6 Reorder the terms: 2 + 6x = 4(-5 + 3x) + 6 2 + 6x = (-5 * 4 + 3x * 4) + 6 2 + 6x = (-20 + 12x) + 6 Reorder the terms: 2 + 6x = -20 + 6 + 12x Combine like terms: -20 + 6 = -14 2 + 6x = -14 + 12x Solving 2 + 6x = -14 + 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. 2 + 6x + -12x = -14 + 12x + -12x Combine like terms: 6x + -12x = -6x 2 + -6x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -6x = -14 + 0 2 + -6x = -14 Add '-2' to each side of the equation. 2 + -2 + -6x = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -14 + -2 -6x = -14 + -2 Combine like terms: -14 + -2 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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