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Simplifying 5(2X + -5) + -1(6X + 8) = 0 Reorder the terms: 5(-5 + 2X) + -1(6X + 8) = 0 (-5 * 5 + 2X * 5) + -1(6X + 8) = 0 (-25 + 10X) + -1(6X + 8) = 0 Reorder the terms: -25 + 10X + -1(8 + 6X) = 0 -25 + 10X + (8 * -1 + 6X * -1) = 0 -25 + 10X + (-8 + -6X) = 0 Reorder the terms: -25 + -8 + 10X + -6X = 0 Combine like terms: -25 + -8 = -33 -33 + 10X + -6X = 0 Combine like terms: 10X + -6X = 4X -33 + 4X = 0 Solving -33 + 4X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 4X = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 4X = 0 + 33 4X = 0 + 33 Combine like terms: 0 + 33 = 33 4X = 33 Divide each side by '4'. X = 8.25 Simplifying X = 8.25
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