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Simplifying -5x + 3x + -9 = 22 + 2x Reorder the terms: -9 + -5x + 3x = 22 + 2x Combine like terms: -5x + 3x = -2x -9 + -2x = 22 + 2x Solving -9 + -2x = 22 + 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. -9 + -2x + -2x = 22 + 2x + -2x Combine like terms: -2x + -2x = -4x -9 + -4x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -4x = 22 + 0 -9 + -4x = 22 Add '9' to each side of the equation. -9 + 9 + -4x = 22 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 22 + 9 -4x = 22 + 9 Combine like terms: 22 + 9 = 31 -4x = 31 Divide each side by '-4'. x = -7.75 Simplifying x = -7.75
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