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Simplifying 6x + 3(4x + 10) = -78 Reorder the terms: 6x + 3(10 + 4x) = -78 6x + (10 * 3 + 4x * 3) = -78 6x + (30 + 12x) = -78 Reorder the terms: 30 + 6x + 12x = -78 Combine like terms: 6x + 12x = 18x 30 + 18x = -78 Solving 30 + 18x = -78 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 + 18x = -78 + -30 Combine like terms: 30 + -30 = 0 0 + 18x = -78 + -30 18x = -78 + -30 Combine like terms: -78 + -30 = -108 18x = -108 Divide each side by '18'. x = -6 Simplifying x = -6
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