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Simplifying 6(2x + -3y) + -4(9x + 5y) = 0 (2x * 6 + -3y * 6) + -4(9x + 5y) = 0 (12x + -18y) + -4(9x + 5y) = 0 12x + -18y + (9x * -4 + 5y * -4) = 0 12x + -18y + (-36x + -20y) = 0 Reorder the terms: 12x + -36x + -18y + -20y = 0 Combine like terms: 12x + -36x = -24x -24x + -18y + -20y = 0 Combine like terms: -18y + -20y = -38y -24x + -38y = 0 Solving -24x + -38y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38y' to each side of the equation. -24x + -38y + 38y = 0 + 38y Combine like terms: -38y + 38y = 0 -24x + 0 = 0 + 38y -24x = 0 + 38y Remove the zero: -24x = 38y Divide each side by '-24'. x = -1.583333333y Simplifying x = -1.583333333y
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