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Simplifying 6x + 31 = 9x + -5 Reorder the terms: 31 + 6x = 9x + -5 Reorder the terms: 31 + 6x = -5 + 9x Solving 31 + 6x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 31 + 6x + -9x = -5 + 9x + -9x Combine like terms: 6x + -9x = -3x 31 + -3x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 31 + -3x = -5 + 0 31 + -3x = -5 Add '-31' to each side of the equation. 31 + -31 + -3x = -5 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = -5 + -31 -3x = -5 + -31 Combine like terms: -5 + -31 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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