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Simplifying 5(10 + -1X) = 3X + -6 (10 * 5 + -1X * 5) = 3X + -6 (50 + -5X) = 3X + -6 Reorder the terms: 50 + -5X = -6 + 3X Solving 50 + -5X = -6 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 50 + -5X + -3X = -6 + 3X + -3X Combine like terms: -5X + -3X = -8X 50 + -8X = -6 + 3X + -3X Combine like terms: 3X + -3X = 0 50 + -8X = -6 + 0 50 + -8X = -6 Add '-50' to each side of the equation. 50 + -50 + -8X = -6 + -50 Combine like terms: 50 + -50 = 0 0 + -8X = -6 + -50 -8X = -6 + -50 Combine like terms: -6 + -50 = -56 -8X = -56 Divide each side by '-8'. X = 7 Simplifying X = 7
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