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Simplifying 2x + 3x + 4x + -5 = 22 + 3 + 4x Reorder the terms: -5 + 2x + 3x + 4x = 22 + 3 + 4x Combine like terms: 2x + 3x = 5x -5 + 5x + 4x = 22 + 3 + 4x Combine like terms: 5x + 4x = 9x -5 + 9x = 22 + 3 + 4x Combine like terms: 22 + 3 = 25 -5 + 9x = 25 + 4x Solving -5 + 9x = 25 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 9x + -4x = 25 + 4x + -4x Combine like terms: 9x + -4x = 5x -5 + 5x = 25 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 5x = 25 + 0 -5 + 5x = 25 Add '5' to each side of the equation. -5 + 5 + 5x = 25 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 25 + 5 5x = 25 + 5 Combine like terms: 25 + 5 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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