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Simplifying (2x + 3y) + -1(5x + -12y) + -6x = 0 Remove parenthesis around (2x + 3y) 2x + 3y + -1(5x + -12y) + -6x = 0 2x + 3y + (5x * -1 + -12y * -1) + -6x = 0 2x + 3y + (-5x + 12y) + -6x = 0 Reorder the terms: 2x + -5x + -6x + 3y + 12y = 0 Combine like terms: 2x + -5x = -3x -3x + -6x + 3y + 12y = 0 Combine like terms: -3x + -6x = -9x -9x + 3y + 12y = 0 Combine like terms: 3y + 12y = 15y -9x + 15y = 0 Solving -9x + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. -9x + 15y + -15y = 0 + -15y Combine like terms: 15y + -15y = 0 -9x + 0 = 0 + -15y -9x = 0 + -15y Remove the zero: -9x = -15y Divide each side by '-9'. x = 1.666666667y Simplifying x = 1.666666667y
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