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Simplifying (2X + -6) + -1(6X + 9) = 0 Reorder the terms: (-6 + 2X) + -1(6X + 9) = 0 Remove parenthesis around (-6 + 2X) -6 + 2X + -1(6X + 9) = 0 Reorder the terms: -6 + 2X + -1(9 + 6X) = 0 -6 + 2X + (9 * -1 + 6X * -1) = 0 -6 + 2X + (-9 + -6X) = 0 Reorder the terms: -6 + -9 + 2X + -6X = 0 Combine like terms: -6 + -9 = -15 -15 + 2X + -6X = 0 Combine like terms: 2X + -6X = -4X -15 + -4X = 0 Solving -15 + -4X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4X = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4X = 0 + 15 -4X = 0 + 15 Combine like terms: 0 + 15 = 15 -4X = 15 Divide each side by '-4'. X = -3.75 Simplifying X = -3.75
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