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Simplifying -6x + -1y + 6y + -1(-4x) + -12y = 0 Remove parenthesis around (-4x) -6x + -1y + 6y + -1 * -4x + -12y = 0 Multiply -1 * -4 -6x + -1y + 6y + 4x + -12y = 0 Reorder the terms: -6x + 4x + -1y + 6y + -12y = 0 Combine like terms: -6x + 4x = -2x -2x + -1y + 6y + -12y = 0 Combine like terms: -1y + 6y = 5y -2x + 5y + -12y = 0 Combine like terms: 5y + -12y = -7y -2x + -7y = 0 Solving -2x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. -2x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 -2x + 0 = 0 + 7y -2x = 0 + 7y Remove the zero: -2x = 7y Divide each side by '-2'. x = -3.5y Simplifying x = -3.5y
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