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Simplifying -5x + -2 = 7x + 22 Reorder the terms: -2 + -5x = 7x + 22 Reorder the terms: -2 + -5x = 22 + 7x Solving -2 + -5x = 22 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -5x + -7x = 22 + 7x + -7x Combine like terms: -5x + -7x = -12x -2 + -12x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -12x = 22 + 0 -2 + -12x = 22 Add '2' to each side of the equation. -2 + 2 + -12x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 22 + 2 -12x = 22 + 2 Combine like terms: 22 + 2 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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