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Simplifying 6x + 3(-6x + 2) = 78 Reorder the terms: 6x + 3(2 + -6x) = 78 6x + (2 * 3 + -6x * 3) = 78 6x + (6 + -18x) = 78 Reorder the terms: 6 + 6x + -18x = 78 Combine like terms: 6x + -18x = -12x 6 + -12x = 78 Solving 6 + -12x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -12x = 78 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 78 + -6 -12x = 78 + -6 Combine like terms: 78 + -6 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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