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Simplifying -7x + -4(5x + 9) = -171 Reorder the terms: -7x + -4(9 + 5x) = -171 -7x + (9 * -4 + 5x * -4) = -171 -7x + (-36 + -20x) = -171 Reorder the terms: -36 + -7x + -20x = -171 Combine like terms: -7x + -20x = -27x -36 + -27x = -171 Solving -36 + -27x = -171 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -27x = -171 + 36 Combine like terms: -36 + 36 = 0 0 + -27x = -171 + 36 -27x = -171 + 36 Combine like terms: -171 + 36 = -135 -27x = -135 Divide each side by '-27'. x = 5 Simplifying x = 5
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