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Simplifying 14 + 2x + -6 + 8x + -4x + 21 + -1x = 34 Reorder the terms: 14 + -6 + 21 + 2x + 8x + -4x + -1x = 34 Combine like terms: 14 + -6 = 8 8 + 21 + 2x + 8x + -4x + -1x = 34 Combine like terms: 8 + 21 = 29 29 + 2x + 8x + -4x + -1x = 34 Combine like terms: 2x + 8x = 10x 29 + 10x + -4x + -1x = 34 Combine like terms: 10x + -4x = 6x 29 + 6x + -1x = 34 Combine like terms: 6x + -1x = 5x 29 + 5x = 34 Solving 29 + 5x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 5x = 34 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = 34 + -29 5x = 34 + -29 Combine like terms: 34 + -29 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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