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Simplifying 2x + 14 = 78 + -6x Reorder the terms: 14 + 2x = 78 + -6x Solving 14 + 2x = 78 + -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. 14 + 2x + 6x = 78 + -6x + 6x Combine like terms: 2x + 6x = 8x 14 + 8x = 78 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 8x = 78 + 0 14 + 8x = 78 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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