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Simplifying 6x + -1 = -2x + 31 Reorder the terms: -1 + 6x = -2x + 31 Reorder the terms: -1 + 6x = 31 + -2x Solving -1 + 6x = 31 + -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. -1 + 6x + 2x = 31 + -2x + 2x Combine like terms: 6x + 2x = 8x -1 + 8x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 8x = 31 + 0 -1 + 8x = 31 Add '1' to each side of the equation. -1 + 1 + 8x = 31 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 31 + 1 8x = 31 + 1 Combine like terms: 31 + 1 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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