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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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