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Simplifying 2x + 2(3x + -7) = -78 Reorder the terms: 2x + 2(-7 + 3x) = -78 2x + (-7 * 2 + 3x * 2) = -78 2x + (-14 + 6x) = -78 Reorder the terms: -14 + 2x + 6x = -78 Combine like terms: 2x + 6x = 8x -14 + 8x = -78 Solving -14 + 8x = -78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8x = -78 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = -78 + 14 8x = -78 + 14 Combine like terms: -78 + 14 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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