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Simplifying 6x + 8 = 78 + -4x Reorder the terms: 8 + 6x = 78 + -4x Solving 8 + 6x = 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. 8 + 6x + 4x = 78 + -4x + 4x Combine like terms: 6x + 4x = 10x 8 + 10x = 78 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 10x = 78 + 0 8 + 10x = 78 Add '-8' to each side of the equation. 8 + -8 + 10x = 78 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 78 + -8 10x = 78 + -8 Combine like terms: 78 + -8 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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