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Simplifying (4x + 10y + -1) + -1(6X + -20Y + -7) = 0 Reorder the terms: (-1 + 4x + 10y) + -1(6X + -20Y + -7) = 0 Remove parenthesis around (-1 + 4x + 10y) -1 + 4x + 10y + -1(6X + -20Y + -7) = 0 Reorder the terms: -1 + 4x + 10y + -1(-7 + 6X + -20Y) = 0 -1 + 4x + 10y + (-7 * -1 + 6X * -1 + -20Y * -1) = 0 -1 + 4x + 10y + (7 + -6X + 20Y) = 0 Reorder the terms: -1 + 7 + -6X + 20Y + 4x + 10y = 0 Combine like terms: -1 + 7 = 6 6 + -6X + 20Y + 4x + 10y = 0 Solving 6 + -6X + 20Y + 4x + 10y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6X + 20Y + 4x + -6 + 10y = 0 + -6 Reorder the terms: 6 + -6 + -6X + 20Y + 4x + 10y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6X + 20Y + 4x + 10y = 0 + -6 -6X + 20Y + 4x + 10y = 0 + -6 Combine like terms: 0 + -6 = -6 -6X + 20Y + 4x + 10y = -6 Add '-20Y' to each side of the equation. -6X + 20Y + 4x + -20Y + 10y = -6 + -20Y Reorder the terms: -6X + 20Y + -20Y + 4x + 10y = -6 + -20Y Combine like terms: 20Y + -20Y = 0 -6X + 0 + 4x + 10y = -6 + -20Y -6X + 4x + 10y = -6 + -20Y Add '-4x' to each side of the equation. -6X + 4x + -4x + 10y = -6 + -20Y + -4x Combine like terms: 4x + -4x = 0 -6X + 0 + 10y = -6 + -20Y + -4x -6X + 10y = -6 + -20Y + -4x Add '-10y' to each side of the equation. -6X + 10y + -10y = -6 + -20Y + -4x + -10y Combine like terms: 10y + -10y = 0 -6X + 0 = -6 + -20Y + -4x + -10y -6X = -6 + -20Y + -4x + -10y Divide each side by '-6'. X = 1 + 3.333333333Y + 0.6666666667x + 1.666666667y Simplifying X = 1 + 3.333333333Y + 0.6666666667x + 1.666666667y
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