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Simplifying -31 = x + -5x + 1 Reorder the terms: -31 = 1 + x + -5x Combine like terms: x + -5x = -4x -31 = 1 + -4x Solving -31 = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -31 + 4x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -31 + 4x = 1 + 0 -31 + 4x = 1 Add '31' to each side of the equation. -31 + 31 + 4x = 1 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = 1 + 31 4x = 1 + 31 Combine like terms: 1 + 31 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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