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Simplifying 6x + -31 = 2x + 1 Reorder the terms: -31 + 6x = 2x + 1 Reorder the terms: -31 + 6x = 1 + 2x Solving -31 + 6x = 1 + 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 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x -31 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 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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