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Simplifying 10x + -31 = 8x + 13 Reorder the terms: -31 + 10x = 8x + 13 Reorder the terms: -31 + 10x = 13 + 8x Solving -31 + 10x = 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 + 10x + -8x = 13 + 8x + -8x Combine like terms: 10x + -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 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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