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Simplifying 2(x + -3y) = 3(2x + y + 3) (x * 2 + -3y * 2) = 3(2x + y + 3) (2x + -6y) = 3(2x + y + 3) Reorder the terms: 2x + -6y = 3(3 + 2x + y) 2x + -6y = (3 * 3 + 2x * 3 + y * 3) 2x + -6y = (9 + 6x + 3y) Solving 2x + -6y = 9 + 6x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2x + -6x + -6y = 9 + 6x + -6x + 3y Combine like terms: 2x + -6x = -4x -4x + -6y = 9 + 6x + -6x + 3y Combine like terms: 6x + -6x = 0 -4x + -6y = 9 + 0 + 3y -4x + -6y = 9 + 3y Add '6y' to each side of the equation. -4x + -6y + 6y = 9 + 3y + 6y Combine like terms: -6y + 6y = 0 -4x + 0 = 9 + 3y + 6y -4x = 9 + 3y + 6y Combine like terms: 3y + 6y = 9y -4x = 9 + 9y Divide each side by '-4'. x = -2.25 + -2.25y Simplifying x = -2.25 + -2.25y
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