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Simplifying 3(x + -3y) + -2(2x + -5y) = 0 (x * 3 + -3y * 3) + -2(2x + -5y) = 0 (3x + -9y) + -2(2x + -5y) = 0 3x + -9y + (2x * -2 + -5y * -2) = 0 3x + -9y + (-4x + 10y) = 0 Reorder the terms: 3x + -4x + -9y + 10y = 0 Combine like terms: 3x + -4x = -1x -1x + -9y + 10y = 0 Combine like terms: -9y + 10y = 1y -1x + 1y = 0 Solving -1x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -1x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 -1x + 0 = 0 + -1y -1x = 0 + -1y Remove the zero: -1x = -1y Divide each side by '-1'. x = y Simplifying x = y
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