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Simplifying 14 + 4x + -22 = 9[2 + -1x] + 5x Reorder the terms: 14 + -22 + 4x = 9[2 + -1x] + 5x Combine like terms: 14 + -22 = -8 -8 + 4x = 9[2 + -1x] + 5x -8 + 4x = [2 * 9 + -1x * 9] + 5x -8 + 4x = [18 + -9x] + 5x Combine like terms: -9x + 5x = -4x -8 + 4x = 18 + -4x Solving -8 + 4x = 18 + -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. -8 + 4x + 4x = 18 + -4x + 4x Combine like terms: 4x + 4x = 8x -8 + 8x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 8x = 18 + 0 -8 + 8x = 18 Add '8' to each side of the equation. -8 + 8 + 8x = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 18 + 8 8x = 18 + 8 Combine like terms: 18 + 8 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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