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Simplifying -3(6X + 5) + -2(1 + -17X) = 3(1 + 5X) Reorder the terms: -3(5 + 6X) + -2(1 + -17X) = 3(1 + 5X) (5 * -3 + 6X * -3) + -2(1 + -17X) = 3(1 + 5X) (-15 + -18X) + -2(1 + -17X) = 3(1 + 5X) -15 + -18X + (1 * -2 + -17X * -2) = 3(1 + 5X) -15 + -18X + (-2 + 34X) = 3(1 + 5X) Reorder the terms: -15 + -2 + -18X + 34X = 3(1 + 5X) Combine like terms: -15 + -2 = -17 -17 + -18X + 34X = 3(1 + 5X) Combine like terms: -18X + 34X = 16X -17 + 16X = 3(1 + 5X) -17 + 16X = (1 * 3 + 5X * 3) -17 + 16X = (3 + 15X) Solving -17 + 16X = 3 + 15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. -17 + 16X + -15X = 3 + 15X + -15X Combine like terms: 16X + -15X = 1X -17 + 1X = 3 + 15X + -15X Combine like terms: 15X + -15X = 0 -17 + 1X = 3 + 0 -17 + 1X = 3 Add '17' to each side of the equation. -17 + 17 + 1X = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 1X = 3 + 17 1X = 3 + 17 Combine like terms: 3 + 17 = 20 1X = 20 Divide each side by '1'. X = 20 Simplifying X = 20
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