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Simplifying 14x + -5 = -17 + 1 + 9x + -14 Reorder the terms: -5 + 14x = -17 + 1 + 9x + -14 Reorder the terms: -5 + 14x = -17 + 1 + -14 + 9x Combine like terms: -17 + 1 = -16 -5 + 14x = -16 + -14 + 9x Combine like terms: -16 + -14 = -30 -5 + 14x = -30 + 9x Solving -5 + 14x = -30 + 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. -5 + 14x + -9x = -30 + 9x + -9x Combine like terms: 14x + -9x = 5x -5 + 5x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 5x = -30 + 0 -5 + 5x = -30 Add '5' to each side of the equation. -5 + 5 + 5x = -30 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = -30 + 5 5x = -30 + 5 Combine like terms: -30 + 5 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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