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Simplifying -171 = -7x + 5(5x + -9) Reorder the terms: -171 = -7x + 5(-9 + 5x) -171 = -7x + (-9 * 5 + 5x * 5) -171 = -7x + (-45 + 25x) Reorder the terms: -171 = -45 + -7x + 25x Combine like terms: -7x + 25x = 18x -171 = -45 + 18x Solving -171 = -45 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -171 + -18x = -45 + 18x + -18x Combine like terms: 18x + -18x = 0 -171 + -18x = -45 + 0 -171 + -18x = -45 Add '171' to each side of the equation. -171 + 171 + -18x = -45 + 171 Combine like terms: -171 + 171 = 0 0 + -18x = -45 + 171 -18x = -45 + 171 Combine like terms: -45 + 171 = 126 -18x = 126 Divide each side by '-18'. x = -7 Simplifying x = -7
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