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Simplifying 4x + 5(-5x + 9) = 171 Reorder the terms: 4x + 5(9 + -5x) = 171 4x + (9 * 5 + -5x * 5) = 171 4x + (45 + -25x) = 171 Reorder the terms: 45 + 4x + -25x = 171 Combine like terms: 4x + -25x = -21x 45 + -21x = 171 Solving 45 + -21x = 171 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -21x = 171 + -45 Combine like terms: 45 + -45 = 0 0 + -21x = 171 + -45 -21x = 171 + -45 Combine like terms: 171 + -45 = 126 -21x = 126 Divide each side by '-21'. x = -6 Simplifying x = -6
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