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Simplifying 3(X + -4) + 5(X + 2) = 0 Reorder the terms: 3(-4 + X) + 5(X + 2) = 0 (-4 * 3 + X * 3) + 5(X + 2) = 0 (-12 + 3X) + 5(X + 2) = 0 Reorder the terms: -12 + 3X + 5(2 + X) = 0 -12 + 3X + (2 * 5 + X * 5) = 0 -12 + 3X + (10 + 5X) = 0 Reorder the terms: -12 + 10 + 3X + 5X = 0 Combine like terms: -12 + 10 = -2 -2 + 3X + 5X = 0 Combine like terms: 3X + 5X = 8X -2 + 8X = 0 Solving -2 + 8X = 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 + 8X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8X = 0 + 2 8X = 0 + 2 Combine like terms: 0 + 2 = 2 8X = 2 Divide each side by '8'. X = 0.25 Simplifying X = 0.25
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