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Simplifying -114 + 8x = -6x + 82 Reorder the terms: -114 + 8x = 82 + -6x Solving -114 + 8x = 82 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -114 + 8x + 6x = 82 + -6x + 6x Combine like terms: 8x + 6x = 14x -114 + 14x = 82 + -6x + 6x Combine like terms: -6x + 6x = 0 -114 + 14x = 82 + 0 -114 + 14x = 82 Add '114' to each side of the equation. -114 + 114 + 14x = 82 + 114 Combine like terms: -114 + 114 = 0 0 + 14x = 82 + 114 14x = 82 + 114 Combine like terms: 82 + 114 = 196 14x = 196 Divide each side by '14'. x = 14 Simplifying x = 14
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