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Simplifying x + -6 = -14 + -7x Reorder the terms: -6 + x = -14 + -7x Solving -6 + x = -14 + -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. -6 + x + 7x = -14 + -7x + 7x Combine like terms: x + 7x = 8x -6 + 8x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 8x = -14 + 0 -6 + 8x = -14 Add '6' to each side of the equation. -6 + 6 + 8x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -14 + 6 8x = -14 + 6 Combine like terms: -14 + 6 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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