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Simplifying 5x + -13 + -2x = 9x + 22 + -5x Reorder the terms: -13 + 5x + -2x = 9x + 22 + -5x Combine like terms: 5x + -2x = 3x -13 + 3x = 9x + 22 + -5x Reorder the terms: -13 + 3x = 22 + 9x + -5x Combine like terms: 9x + -5x = 4x -13 + 3x = 22 + 4x Solving -13 + 3x = 22 + 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. -13 + 3x + -4x = 22 + 4x + -4x Combine like terms: 3x + -4x = -1x -13 + -1x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -1x = 22 + 0 -13 + -1x = 22 Add '13' to each side of the equation. -13 + 13 + -1x = 22 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 22 + 13 -1x = 22 + 13 Combine like terms: 22 + 13 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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