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Simplifying -171 = -3X + 4(5X + -13) Reorder the terms: -171 = -3X + 4(-13 + 5X) -171 = -3X + (-13 * 4 + 5X * 4) -171 = -3X + (-52 + 20X) Reorder the terms: -171 = -52 + -3X + 20X Combine like terms: -3X + 20X = 17X -171 = -52 + 17X Solving -171 = -52 + 17X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-17X' to each side of the equation. -171 + -17X = -52 + 17X + -17X Combine like terms: 17X + -17X = 0 -171 + -17X = -52 + 0 -171 + -17X = -52 Add '171' to each side of the equation. -171 + 171 + -17X = -52 + 171 Combine like terms: -171 + 171 = 0 0 + -17X = -52 + 171 -17X = -52 + 171 Combine like terms: -52 + 171 = 119 -17X = 119 Divide each side by '-17'. X = -7 Simplifying X = -7
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