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Simplifying 4x + -5(5x + -17) = 22 Reorder the terms: 4x + -5(-17 + 5x) = 22 4x + (-17 * -5 + 5x * -5) = 22 4x + (85 + -25x) = 22 Reorder the terms: 85 + 4x + -25x = 22 Combine like terms: 4x + -25x = -21x 85 + -21x = 22 Solving 85 + -21x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -21x = 22 + -85 Combine like terms: 85 + -85 = 0 0 + -21x = 22 + -85 -21x = 22 + -85 Combine like terms: 22 + -85 = -63 -21x = -63 Divide each side by '-21'. x = 3 Simplifying x = 3
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