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Simplifying 4x + 5x + -22 = 6x + 14 Reorder the terms: -22 + 4x + 5x = 6x + 14 Combine like terms: 4x + 5x = 9x -22 + 9x = 6x + 14 Reorder the terms: -22 + 9x = 14 + 6x Solving -22 + 9x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -22 + 9x + -6x = 14 + 6x + -6x Combine like terms: 9x + -6x = 3x -22 + 3x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + 3x = 14 + 0 -22 + 3x = 14 Add '22' to each side of the equation. -22 + 22 + 3x = 14 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = 14 + 22 3x = 14 + 22 Combine like terms: 14 + 22 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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