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Simplifying -2(6x + 3) + -6(4 + -4x) = 66 Reorder the terms: -2(3 + 6x) + -6(4 + -4x) = 66 (3 * -2 + 6x * -2) + -6(4 + -4x) = 66 (-6 + -12x) + -6(4 + -4x) = 66 -6 + -12x + (4 * -6 + -4x * -6) = 66 -6 + -12x + (-24 + 24x) = 66 Reorder the terms: -6 + -24 + -12x + 24x = 66 Combine like terms: -6 + -24 = -30 -30 + -12x + 24x = 66 Combine like terms: -12x + 24x = 12x -30 + 12x = 66 Solving -30 + 12x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 12x = 66 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 66 + 30 12x = 66 + 30 Combine like terms: 66 + 30 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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