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Simplifying 2(6x + -7) = -39 + 7x Reorder the terms: 2(-7 + 6x) = -39 + 7x (-7 * 2 + 6x * 2) = -39 + 7x (-14 + 12x) = -39 + 7x Solving -14 + 12x = -39 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -14 + 12x + -7x = -39 + 7x + -7x Combine like terms: 12x + -7x = 5x -14 + 5x = -39 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 5x = -39 + 0 -14 + 5x = -39 Add '14' to each side of the equation. -14 + 14 + 5x = -39 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = -39 + 14 5x = -39 + 14 Combine like terms: -39 + 14 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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