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Simplifying 4x + -14 = -34 + 9x Reorder the terms: -14 + 4x = -34 + 9x Solving -14 + 4x = -34 + 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. -14 + 4x + -9x = -34 + 9x + -9x Combine like terms: 4x + -9x = -5x -14 + -5x = -34 + 9x + -9x Combine like terms: 9x + -9x = 0 -14 + -5x = -34 + 0 -14 + -5x = -34 Add '14' to each side of the equation. -14 + 14 + -5x = -34 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = -34 + 14 -5x = -34 + 14 Combine like terms: -34 + 14 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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