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Simplifying -22 + 2x = x + -4(-4 + -5x) -22 + 2x = x + (-4 * -4 + -5x * -4) -22 + 2x = x + (16 + 20x) Reorder the terms: -22 + 2x = 16 + x + 20x Combine like terms: x + 20x = 21x -22 + 2x = 16 + 21x Solving -22 + 2x = 16 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -22 + 2x + -21x = 16 + 21x + -21x Combine like terms: 2x + -21x = -19x -22 + -19x = 16 + 21x + -21x Combine like terms: 21x + -21x = 0 -22 + -19x = 16 + 0 -22 + -19x = 16 Add '22' to each side of the equation. -22 + 22 + -19x = 16 + 22 Combine like terms: -22 + 22 = 0 0 + -19x = 16 + 22 -19x = 16 + 22 Combine like terms: 16 + 22 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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