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Simplifying 5x + 17 + 2x = -45 + 15 Reorder the terms: 17 + 5x + 2x = -45 + 15 Combine like terms: 5x + 2x = 7x 17 + 7x = -45 + 15 Combine like terms: -45 + 15 = -30 17 + 7x = -30 Solving 17 + 7x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7x = -30 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = -30 + -17 7x = -30 + -17 Combine like terms: -30 + -17 = -47 7x = -47 Divide each side by '7'. x = -6.714285714 Simplifying x = -6.714285714
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