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Simplifying 4x + 5(4 + -5x) = -22 4x + (4 * 5 + -5x * 5) = -22 4x + (20 + -25x) = -22 Reorder the terms: 20 + 4x + -25x = -22 Combine like terms: 4x + -25x = -21x 20 + -21x = -22 Solving 20 + -21x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -21x = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -21x = -22 + -20 -21x = -22 + -20 Combine like terms: -22 + -20 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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