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Simplifying 6x + 31 = 8x + 13 Reorder the terms: 31 + 6x = 8x + 13 Reorder the terms: 31 + 6x = 13 + 8x Solving 31 + 6x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 31 + 6x + -8x = 13 + 8x + -8x Combine like terms: 6x + -8x = -2x 31 + -2x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 31 + -2x = 13 + 0 31 + -2x = 13 Add '-31' to each side of the equation. 31 + -31 + -2x = 13 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 13 + -31 -2x = 13 + -31 Combine like terms: 13 + -31 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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