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Simplifying 2x + 14 + -34 = 4x + -11x + 4x + -5 Reorder the terms: 14 + -34 + 2x = 4x + -11x + 4x + -5 Combine like terms: 14 + -34 = -20 -20 + 2x = 4x + -11x + 4x + -5 Reorder the terms: -20 + 2x = -5 + 4x + -11x + 4x Combine like terms: 4x + -11x = -7x -20 + 2x = -5 + -7x + 4x Combine like terms: -7x + 4x = -3x -20 + 2x = -5 + -3x Solving -20 + 2x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 2x + 3x = -5 + -3x + 3x Combine like terms: 2x + 3x = 5x -20 + 5x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 5x = -5 + 0 -20 + 5x = -5 Add '20' to each side of the equation. -20 + 20 + 5x = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = -5 + 20 5x = -5 + 20 Combine like terms: -5 + 20 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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