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Simplifying 2x + 6 = 84 + -8x Reorder the terms: 6 + 2x = 84 + -8x Solving 6 + 2x = 84 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 2x + 8x = 84 + -8x + 8x Combine like terms: 2x + 8x = 10x 6 + 10x = 84 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 10x = 84 + 0 6 + 10x = 84 Add '-6' to each side of the equation. 6 + -6 + 10x = 84 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 84 + -6 10x = 84 + -6 Combine like terms: 84 + -6 = 78 10x = 78 Divide each side by '10'. x = 7.8 Simplifying x = 7.8
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