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Simplifying 4(2x + y) + -3(3x + -2y) = 0 (2x * 4 + y * 4) + -3(3x + -2y) = 0 (8x + 4y) + -3(3x + -2y) = 0 8x + 4y + (3x * -3 + -2y * -3) = 0 8x + 4y + (-9x + 6y) = 0 Reorder the terms: 8x + -9x + 4y + 6y = 0 Combine like terms: 8x + -9x = -1x -1x + 4y + 6y = 0 Combine like terms: 4y + 6y = 10y -1x + 10y = 0 Solving -1x + 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. -1x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 -1x + 0 = 0 + -10y -1x = 0 + -10y Remove the zero: -1x = -10y Divide each side by '-1'. x = 10y Simplifying x = 10y
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