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Simplifying 5x + 1 = -17 + -9x Reorder the terms: 1 + 5x = -17 + -9x Solving 1 + 5x = -17 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 1 + 5x + 9x = -17 + -9x + 9x Combine like terms: 5x + 9x = 14x 1 + 14x = -17 + -9x + 9x Combine like terms: -9x + 9x = 0 1 + 14x = -17 + 0 1 + 14x = -17 Add '-1' to each side of the equation. 1 + -1 + 14x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = -17 + -1 14x = -17 + -1 Combine like terms: -17 + -1 = -18 14x = -18 Divide each side by '14'. x = -1.285714286 Simplifying x = -1.285714286
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