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Simplifying 4(x + y) + -3(x + -2y) = 0 (x * 4 + y * 4) + -3(x + -2y) = 0 (4x + 4y) + -3(x + -2y) = 0 4x + 4y + (x * -3 + -2y * -3) = 0 4x + 4y + (-3x + 6y) = 0 Reorder the terms: 4x + -3x + 4y + 6y = 0 Combine like terms: 4x + -3x = 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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