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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 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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