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Simplifying 5(14 + -1X) = 3(X + -5) (14 * 5 + -1X * 5) = 3(X + -5) (70 + -5X) = 3(X + -5) Reorder the terms: 70 + -5X = 3(-5 + X) 70 + -5X = (-5 * 3 + X * 3) 70 + -5X = (-15 + 3X) Solving 70 + -5X = -15 + 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. 70 + -5X + -3X = -15 + 3X + -3X Combine like terms: -5X + -3X = -8X 70 + -8X = -15 + 3X + -3X Combine like terms: 3X + -3X = 0 70 + -8X = -15 + 0 70 + -8X = -15 Add '-70' to each side of the equation. 70 + -70 + -8X = -15 + -70 Combine like terms: 70 + -70 = 0 0 + -8X = -15 + -70 -8X = -15 + -70 Combine like terms: -15 + -70 = -85 -8X = -85 Divide each side by '-8'. X = 10.625 Simplifying X = 10.625
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