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Simplifying 2x + 9(-24 + 3y) = 27 2x + (-24 * 9 + 3y * 9) = 27 2x + (-216 + 27y) = 27 Reorder the terms: -216 + 2x + 27y = 27 Solving -216 + 2x + 27y = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '216' to each side of the equation. -216 + 2x + 216 + 27y = 27 + 216 Reorder the terms: -216 + 216 + 2x + 27y = 27 + 216 Combine like terms: -216 + 216 = 0 0 + 2x + 27y = 27 + 216 2x + 27y = 27 + 216 Combine like terms: 27 + 216 = 243 2x + 27y = 243 Add '-27y' to each side of the equation. 2x + 27y + -27y = 243 + -27y Combine like terms: 27y + -27y = 0 2x + 0 = 243 + -27y 2x = 243 + -27y Divide each side by '2'. x = 121.5 + -13.5y Simplifying x = 121.5 + -13.5y
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