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Simplifying (10x + -12y) + (3x + 7y) + (4x + -6y) = 0 Remove parenthesis around (10x + -12y) 10x + -12y + (3x + 7y) + (4x + -6y) = 0 Remove parenthesis around (3x + 7y) 10x + -12y + 3x + 7y + (4x + -6y) = 0 Remove parenthesis around (4x + -6y) 10x + -12y + 3x + 7y + 4x + -6y = 0 Reorder the terms: 10x + 3x + 4x + -12y + 7y + -6y = 0 Combine like terms: 10x + 3x = 13x 13x + 4x + -12y + 7y + -6y = 0 Combine like terms: 13x + 4x = 17x 17x + -12y + 7y + -6y = 0 Combine like terms: -12y + 7y = -5y 17x + -5y + -6y = 0 Combine like terms: -5y + -6y = -11y 17x + -11y = 0 Solving 17x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 17x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 17x + 0 = 0 + 11y 17x = 0 + 11y Remove the zero: 17x = 11y Divide each side by '17'. x = 0.6470588235y Simplifying x = 0.6470588235y
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