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Simplifying 5x + -22 + 8x + 17 = 14x + -23 + 8x Reorder the terms: -22 + 17 + 5x + 8x = 14x + -23 + 8x Combine like terms: -22 + 17 = -5 -5 + 5x + 8x = 14x + -23 + 8x Combine like terms: 5x + 8x = 13x -5 + 13x = 14x + -23 + 8x Reorder the terms: -5 + 13x = -23 + 14x + 8x Combine like terms: 14x + 8x = 22x -5 + 13x = -23 + 22x Solving -5 + 13x = -23 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -5 + 13x + -22x = -23 + 22x + -22x Combine like terms: 13x + -22x = -9x -5 + -9x = -23 + 22x + -22x Combine like terms: 22x + -22x = 0 -5 + -9x = -23 + 0 -5 + -9x = -23 Add '5' to each side of the equation. -5 + 5 + -9x = -23 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = -23 + 5 -9x = -23 + 5 Combine like terms: -23 + 5 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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