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Simplifying 2y + 5x + -6y + -24 = -12 + -4y + 3 Reorder the terms: -24 + 5x + 2y + -6y = -12 + -4y + 3 Combine like terms: 2y + -6y = -4y -24 + 5x + -4y = -12 + -4y + 3 Reorder the terms: -24 + 5x + -4y = -12 + 3 + -4y Combine like terms: -12 + 3 = -9 -24 + 5x + -4y = -9 + -4y Add '4y' to each side of the equation. -24 + 5x + -4y + 4y = -9 + -4y + 4y Combine like terms: -4y + 4y = 0 -24 + 5x + 0 = -9 + -4y + 4y -24 + 5x = -9 + -4y + 4y Combine like terms: -4y + 4y = 0 -24 + 5x = -9 + 0 -24 + 5x = -9 Solving -24 + 5x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 5x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = -9 + 24 5x = -9 + 24 Combine like terms: -9 + 24 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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