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Simplifying 4x + 14 = 78 + -4x Reorder the terms: 14 + 4x = 78 + -4x Solving 14 + 4x = 78 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + 4x + 4x = 78 + -4x + 4x Combine like terms: 4x + 4x = 8x 14 + 8x = 78 + -4x + 4x Combine like terms: -4x + 4x = 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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