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Simplifying 122x + 45 + -78x + 12x + -17 = 501 Reorder the terms: 45 + -17 + 122x + -78x + 12x = 501 Combine like terms: 45 + -17 = 28 28 + 122x + -78x + 12x = 501 Combine like terms: 122x + -78x = 44x 28 + 44x + 12x = 501 Combine like terms: 44x + 12x = 56x 28 + 56x = 501 Solving 28 + 56x = 501 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 56x = 501 + -28 Combine like terms: 28 + -28 = 0 0 + 56x = 501 + -28 56x = 501 + -28 Combine like terms: 501 + -28 = 473 56x = 473 Divide each side by '56'. x = 8.446428571 Simplifying x = 8.446428571
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