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Simplifying 6x + 31 = 15x + 77 Reorder the terms: 31 + 6x = 15x + 77 Reorder the terms: 31 + 6x = 77 + 15x Solving 31 + 6x = 77 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 31 + 6x + -15x = 77 + 15x + -15x Combine like terms: 6x + -15x = -9x 31 + -9x = 77 + 15x + -15x Combine like terms: 15x + -15x = 0 31 + -9x = 77 + 0 31 + -9x = 77 Add '-31' to each side of the equation. 31 + -31 + -9x = 77 + -31 Combine like terms: 31 + -31 = 0 0 + -9x = 77 + -31 -9x = 77 + -31 Combine like terms: 77 + -31 = 46 -9x = 46 Divide each side by '-9'. x = -5.111111111 Simplifying x = -5.111111111
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