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Simplifying 2(x + 3y) = 3(x + -5y) (x * 2 + 3y * 2) = 3(x + -5y) (2x + 6y) = 3(x + -5y) 2x + 6y = (x * 3 + -5y * 3) 2x + 6y = (3x + -15y) Solving 2x + 6y = 3x + -15y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2x + -3x + 6y = 3x + -3x + -15y Combine like terms: 2x + -3x = -1x -1x + 6y = 3x + -3x + -15y Combine like terms: 3x + -3x = 0 -1x + 6y = 0 + -15y -1x + 6y = -15y Add '-6y' to each side of the equation. -1x + 6y + -6y = -15y + -6y Combine like terms: 6y + -6y = 0 -1x + 0 = -15y + -6y -1x = -15y + -6y Combine like terms: -15y + -6y = -21y -1x = -21y Divide each side by '-1'. x = 21y Simplifying x = 21y
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