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Simplifying (6x + -2y) + -1(2x + 3y) = 0 Remove parenthesis around (6x + -2y) 6x + -2y + -1(2x + 3y) = 0 6x + -2y + (2x * -1 + 3y * -1) = 0 6x + -2y + (-2x + -3y) = 0 Reorder the terms: 6x + -2x + -2y + -3y = 0 Combine like terms: 6x + -2x = 4x 4x + -2y + -3y = 0 Combine like terms: -2y + -3y = -5y 4x + -5y = 0 Solving 4x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 4x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 4x + 0 = 0 + 5y 4x = 0 + 5y Remove the zero: 4x = 5y Divide each side by '4'. x = 1.25y Simplifying x = 1.25y
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