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Simplifying (8X + 1) + -1(5X + -3) + -1(4X + 2) = 0 Reorder the terms: (1 + 8X) + -1(5X + -3) + -1(4X + 2) = 0 Remove parenthesis around (1 + 8X) 1 + 8X + -1(5X + -3) + -1(4X + 2) = 0 Reorder the terms: 1 + 8X + -1(-3 + 5X) + -1(4X + 2) = 0 1 + 8X + (-3 * -1 + 5X * -1) + -1(4X + 2) = 0 1 + 8X + (3 + -5X) + -1(4X + 2) = 0 Reorder the terms: 1 + 8X + 3 + -5X + -1(2 + 4X) = 0 1 + 8X + 3 + -5X + (2 * -1 + 4X * -1) = 0 1 + 8X + 3 + -5X + (-2 + -4X) = 0 Reorder the terms: 1 + 3 + -2 + 8X + -5X + -4X = 0 Combine like terms: 1 + 3 = 4 4 + -2 + 8X + -5X + -4X = 0 Combine like terms: 4 + -2 = 2 2 + 8X + -5X + -4X = 0 Combine like terms: 8X + -5X = 3X 2 + 3X + -4X = 0 Combine like terms: 3X + -4X = -1X 2 + -1X = 0 Solving 2 + -1X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2
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