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Simplifying 5x + 8 = 78 + -5x Reorder the terms: 8 + 5x = 78 + -5x Solving 8 + 5x = 78 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + 5x + 5x = 78 + -5x + 5x Combine like terms: 5x + 5x = 10x 8 + 10x = 78 + -5x + 5x Combine like terms: -5x + 5x = 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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