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Simplifying 5(X + 2) + -4(X + 1) = 6 Reorder the terms: 5(2 + X) + -4(X + 1) = 6 (2 * 5 + X * 5) + -4(X + 1) = 6 (10 + 5X) + -4(X + 1) = 6 Reorder the terms: 10 + 5X + -4(1 + X) = 6 10 + 5X + (1 * -4 + X * -4) = 6 10 + 5X + (-4 + -4X) = 6 Reorder the terms: 10 + -4 + 5X + -4X = 6 Combine like terms: 10 + -4 = 6 6 + 5X + -4X = 6 Combine like terms: 5X + -4X = 1X 6 + 1X = 6 Add '-6' to each side of the equation. 6 + -6 + 1X = 6 + -6 Combine like terms: 6 + -6 = 0 0 + 1X = 6 + -6 1X = 6 + -6 Combine like terms: 6 + -6 = 0 1X = 0 Solving 1X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Divide each side by '1'. X = 0 Simplifying X = 0
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