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Simplifying (-6xy + 6X + 5) + -1(-2xy + 3x + 2) = 0 Reorder the terms: (5 + 6X + -6xy) + -1(-2xy + 3x + 2) = 0 Remove parenthesis around (5 + 6X + -6xy) 5 + 6X + -6xy + -1(-2xy + 3x + 2) = 0 Reorder the terms: 5 + 6X + -6xy + -1(2 + 3x + -2xy) = 0 5 + 6X + -6xy + (2 * -1 + 3x * -1 + -2xy * -1) = 0 5 + 6X + -6xy + (-2 + -3x + 2xy) = 0 Reorder the terms: 5 + -2 + 6X + -3x + -6xy + 2xy = 0 Combine like terms: 5 + -2 = 3 3 + 6X + -3x + -6xy + 2xy = 0 Combine like terms: -6xy + 2xy = -4xy 3 + 6X + -3x + -4xy = 0 Solving 3 + 6X + -3x + -4xy = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6X + -3x + -3 + -4xy = 0 + -3 Reorder the terms: 3 + -3 + 6X + -3x + -4xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6X + -3x + -4xy = 0 + -3 6X + -3x + -4xy = 0 + -3 Combine like terms: 0 + -3 = -3 6X + -3x + -4xy = -3 Add '3x' to each side of the equation. 6X + -3x + 3x + -4xy = -3 + 3x Combine like terms: -3x + 3x = 0 6X + 0 + -4xy = -3 + 3x 6X + -4xy = -3 + 3x Add '4xy' to each side of the equation. 6X + -4xy + 4xy = -3 + 3x + 4xy Combine like terms: -4xy + 4xy = 0 6X + 0 = -3 + 3x + 4xy 6X = -3 + 3x + 4xy Divide each side by '6'. X = -0.5 + 0.5x + 0.6666666667xy Simplifying X = -0.5 + 0.5x + 0.6666666667xy
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