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Simplifying 2(4x + 3y) = 6x + 18y (4x * 2 + 3y * 2) = 6x + 18y (8x + 6y) = 6x + 18y Solving 8x + 6y = 6x + 18y 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. 8x + -6x + 6y = 6x + -6x + 18y Combine like terms: 8x + -6x = 2x 2x + 6y = 6x + -6x + 18y Combine like terms: 6x + -6x = 0 2x + 6y = 0 + 18y 2x + 6y = 18y Add '-6y' to each side of the equation. 2x + 6y + -6y = 18y + -6y Combine like terms: 6y + -6y = 0 2x + 0 = 18y + -6y 2x = 18y + -6y Combine like terms: 18y + -6y = 12y 2x = 12y Divide each side by '2'. x = 6y Simplifying x = 6y
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