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