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Simplifying -3(4x + -2) = -30 + -6x Reorder the terms: -3(-2 + 4x) = -30 + -6x (-2 * -3 + 4x * -3) = -30 + -6x (6 + -12x) = -30 + -6x Solving 6 + -12x = -30 + -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. 6 + -12x + 6x = -30 + -6x + 6x Combine like terms: -12x + 6x = -6x 6 + -6x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + -6x = -30 + 0 6 + -6x = -30 Add '-6' to each side of the equation. 6 + -6 + -6x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -30 + -6 -6x = -30 + -6 Combine like terms: -30 + -6 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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