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Simplifying 5x + -9 + 2x + -22 = 3x + 5 + -1x + 4 Reorder the terms: -9 + -22 + 5x + 2x = 3x + 5 + -1x + 4 Combine like terms: -9 + -22 = -31 -31 + 5x + 2x = 3x + 5 + -1x + 4 Combine like terms: 5x + 2x = 7x -31 + 7x = 3x + 5 + -1x + 4 Reorder the terms: -31 + 7x = 5 + 4 + 3x + -1x Combine like terms: 5 + 4 = 9 -31 + 7x = 9 + 3x + -1x Combine like terms: 3x + -1x = 2x -31 + 7x = 9 + 2x Solving -31 + 7x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + 7x + -2x = 9 + 2x + -2x Combine like terms: 7x + -2x = 5x -31 + 5x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 5x = 9 + 0 -31 + 5x = 9 Add '31' to each side of the equation. -31 + 31 + 5x = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 5x = 9 + 31 5x = 9 + 31 Combine like terms: 9 + 31 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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