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Simplifying 6x + -18 + 82 = -2x Reorder the terms: -18 + 82 + 6x = -2x Combine like terms: -18 + 82 = 64 64 + 6x = -2x Solving 64 + 6x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 64 + 6x + 2x = -2x + 2x Combine like terms: 6x + 2x = 8x 64 + 8x = -2x + 2x Combine like terms: -2x + 2x = 0 64 + 8x = 0 Add '-64' to each side of the equation. 64 + -64 + 8x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 8x = 0 + -64 8x = 0 + -64 Combine like terms: 0 + -64 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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