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Simplifying -4(3x + -1) = -6(x + 3) + -2 Reorder the terms: -4(-1 + 3x) = -6(x + 3) + -2 (-1 * -4 + 3x * -4) = -6(x + 3) + -2 (4 + -12x) = -6(x + 3) + -2 Reorder the terms: 4 + -12x = -6(3 + x) + -2 4 + -12x = (3 * -6 + x * -6) + -2 4 + -12x = (-18 + -6x) + -2 Reorder the terms: 4 + -12x = -18 + -2 + -6x Combine like terms: -18 + -2 = -20 4 + -12x = -20 + -6x Solving 4 + -12x = -20 + -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. 4 + -12x + 6x = -20 + -6x + 6x Combine like terms: -12x + 6x = -6x 4 + -6x = -20 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + -6x = -20 + 0 4 + -6x = -20 Add '-4' to each side of the equation. 4 + -4 + -6x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -20 + -4 -6x = -20 + -4 Combine like terms: -20 + -4 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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