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Simplifying 31x + 2x + -32x + 8x + -1x + 2 = 34 Reorder the terms: 2 + 31x + 2x + -32x + 8x + -1x = 34 Combine like terms: 31x + 2x = 33x 2 + 33x + -32x + 8x + -1x = 34 Combine like terms: 33x + -32x = 1x 2 + 1x + 8x + -1x = 34 Combine like terms: 1x + 8x = 9x 2 + 9x + -1x = 34 Combine like terms: 9x + -1x = 8x 2 + 8x = 34 Solving 2 + 8x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 34 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 34 + -2 8x = 34 + -2 Combine like terms: 34 + -2 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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