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Simplifying -5x + -22 = 3x + 10 Reorder the terms: -22 + -5x = 3x + 10 Reorder the terms: -22 + -5x = 10 + 3x Solving -22 + -5x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -22 + -5x + -3x = 10 + 3x + -3x Combine like terms: -5x + -3x = -8x -22 + -8x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + -8x = 10 + 0 -22 + -8x = 10 Add '22' to each side of the equation. -22 + 22 + -8x = 10 + 22 Combine like terms: -22 + 22 = 0 0 + -8x = 10 + 22 -8x = 10 + 22 Combine like terms: 10 + 22 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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