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Simplifying -5X + 6(-4X + 9) = -178 Reorder the terms: -5X + 6(9 + -4X) = -178 -5X + (9 * 6 + -4X * 6) = -178 -5X + (54 + -24X) = -178 Reorder the terms: 54 + -5X + -24X = -178 Combine like terms: -5X + -24X = -29X 54 + -29X = -178 Solving 54 + -29X = -178 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -29X = -178 + -54 Combine like terms: 54 + -54 = 0 0 + -29X = -178 + -54 -29X = -178 + -54 Combine like terms: -178 + -54 = -232 -29X = -232 Divide each side by '-29'. X = 8 Simplifying X = 8
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