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Simplifying 8x + -31 = 11 + 2x Reorder the terms: -31 + 8x = 11 + 2x Solving -31 + 8x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + 8x + -2x = 11 + 2x + -2x Combine like terms: 8x + -2x = 6x -31 + 6x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 6x = 11 + 0 -31 + 6x = 11 Add '31' to each side of the equation. -31 + 31 + 6x = 11 + 31 Combine like terms: -31 + 31 = 0 0 + 6x = 11 + 31 6x = 11 + 31 Combine like terms: 11 + 31 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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