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Simplifying -7x + 2(6x + 14) = 78 Reorder the terms: -7x + 2(14 + 6x) = 78 -7x + (14 * 2 + 6x * 2) = 78 -7x + (28 + 12x) = 78 Reorder the terms: 28 + -7x + 12x = 78 Combine like terms: -7x + 12x = 5x 28 + 5x = 78 Solving 28 + 5x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 5x = 78 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = 78 + -28 5x = 78 + -28 Combine like terms: 78 + -28 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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