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Simplifying 6 + 5x = -7x + 78 Reorder the terms: 6 + 5x = 78 + -7x Solving 6 + 5x = 78 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + 5x + 7x = 78 + -7x + 7x Combine like terms: 5x + 7x = 12x 6 + 12x = 78 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 12x = 78 + 0 6 + 12x = 78 Add '-6' to each side of the equation. 6 + -6 + 12x = 78 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 78 + -6 12x = 78 + -6 Combine like terms: 78 + -6 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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