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Simplifying 24x + 7y + -27 = 8x + -33y + -115 Reorder the terms: -27 + 24x + 7y = 8x + -33y + -115 Reorder the terms: -27 + 24x + 7y = -115 + 8x + -33y Solving -27 + 24x + 7y = -115 + 8x + -33y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + 24x + -8x + 7y = -115 + 8x + -8x + -33y Combine like terms: 24x + -8x = 16x -27 + 16x + 7y = -115 + 8x + -8x + -33y Combine like terms: 8x + -8x = 0 -27 + 16x + 7y = -115 + 0 + -33y -27 + 16x + 7y = -115 + -33y Add '27' to each side of the equation. -27 + 16x + 27 + 7y = -115 + 27 + -33y Reorder the terms: -27 + 27 + 16x + 7y = -115 + 27 + -33y Combine like terms: -27 + 27 = 0 0 + 16x + 7y = -115 + 27 + -33y 16x + 7y = -115 + 27 + -33y Combine like terms: -115 + 27 = -88 16x + 7y = -88 + -33y Add '-7y' to each side of the equation. 16x + 7y + -7y = -88 + -33y + -7y Combine like terms: 7y + -7y = 0 16x + 0 = -88 + -33y + -7y 16x = -88 + -33y + -7y Combine like terms: -33y + -7y = -40y 16x = -88 + -40y Divide each side by '16'. x = -5.5 + -2.5y Simplifying x = -5.5 + -2.5y
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