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Simplifying 8x + -1(4x + 5) = 31 Reorder the terms: 8x + -1(5 + 4x) = 31 8x + (5 * -1 + 4x * -1) = 31 8x + (-5 + -4x) = 31 Reorder the terms: -5 + 8x + -4x = 31 Combine like terms: 8x + -4x = 4x -5 + 4x = 31 Solving -5 + 4x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4x = 31 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 31 + 5 4x = 31 + 5 Combine like terms: 31 + 5 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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