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Simplifying 78 = 6x + 3(-6x + 2) Reorder the terms: 78 = 6x + 3(2 + -6x) 78 = 6x + (2 * 3 + -6x * 3) 78 = 6x + (6 + -18x) Reorder the terms: 78 = 6 + 6x + -18x Combine like terms: 6x + -18x = -12x 78 = 6 + -12x Solving 78 = 6 + -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. 78 + 12x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 78 + 12x = 6 + 0 78 + 12x = 6 Add '-78' to each side of the equation. 78 + -78 + 12x = 6 + -78 Combine like terms: 78 + -78 = 0 0 + 12x = 6 + -78 12x = 6 + -78 Combine like terms: 6 + -78 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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