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Simplifying 42 + 9X = 6(3X + -8) Reorder the terms: 42 + 9X = 6(-8 + 3X) 42 + 9X = (-8 * 6 + 3X * 6) 42 + 9X = (-48 + 18X) Solving 42 + 9X = -48 + 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. 42 + 9X + -18X = -48 + 18X + -18X Combine like terms: 9X + -18X = -9X 42 + -9X = -48 + 18X + -18X Combine like terms: 18X + -18X = 0 42 + -9X = -48 + 0 42 + -9X = -48 Add '-42' to each side of the equation. 42 + -42 + -9X = -48 + -42 Combine like terms: 42 + -42 = 0 0 + -9X = -48 + -42 -9X = -48 + -42 Combine like terms: -48 + -42 = -90 -9X = -90 Divide each side by '-9'. X = 10 Simplifying X = 10
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