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Simplifying 3(2x + -6) = 4y + 9 + -3y Reorder the terms: 3(-6 + 2x) = 4y + 9 + -3y (-6 * 3 + 2x * 3) = 4y + 9 + -3y (-18 + 6x) = 4y + 9 + -3y Reorder the terms: -18 + 6x = 9 + 4y + -3y Combine like terms: 4y + -3y = 1y -18 + 6x = 9 + 1y Solving -18 + 6x = 9 + 1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6x = 9 + 18 + 1y Combine like terms: -18 + 18 = 0 0 + 6x = 9 + 18 + 1y 6x = 9 + 18 + 1y Combine like terms: 9 + 18 = 27 6x = 27 + 1y Divide each side by '6'. x = 4.5 + 0.1666666667y Simplifying x = 4.5 + 0.1666666667y
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