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Simplifying 5y + (-6y) + -1(-3x) + -4y + -10x + (-5y) = 0 Remove parenthesis around (-3x) 5y + (-6y) + -1 * -3x + -4y + -10x + (-5y) = 0 Multiply -1 * -3 5y + (-6y) + 3x + -4y + -10x + (-5y) = 0 Reorder the terms: 3x + -10x + 5y + (-6y) + -4y + (-5y) = 0 Combine like terms: 3x + -10x = -7x -7x + 5y + (-6y) + -4y + (-5y) = 0 Combine like terms: 5y + (-6y) = -1y -7x + -1y + -4y + (-5y) = 0 Combine like terms: -1y + -4y = -5y -7x + -5y + (-5y) = 0 Combine like terms: -5y + (-5y) = -10y -7x + -10y = 0 Solving -7x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. -7x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 -7x + 0 = 0 + 10y -7x = 0 + 10y Remove the zero: -7x = 10y Divide each side by '-7'. x = -1.428571429y Simplifying x = -1.428571429y
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