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Simplifying 7 + 4(5x + 6y) + -5 = -6x + -5y + 9 + -9y + -1x 7 + (5x * 4 + 6y * 4) + -5 = -6x + -5y + 9 + -9y + -1x 7 + (20x + 24y) + -5 = -6x + -5y + 9 + -9y + -1x Reorder the terms: 7 + -5 + 20x + 24y = -6x + -5y + 9 + -9y + -1x Combine like terms: 7 + -5 = 2 2 + 20x + 24y = -6x + -5y + 9 + -9y + -1x Reorder the terms: 2 + 20x + 24y = 9 + -6x + -1x + -5y + -9y Combine like terms: -6x + -1x = -7x 2 + 20x + 24y = 9 + -7x + -5y + -9y Combine like terms: -5y + -9y = -14y 2 + 20x + 24y = 9 + -7x + -14y Solving 2 + 20x + 24y = 9 + -7x + -14y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2 + 20x + 7x + 24y = 9 + -7x + 7x + -14y Combine like terms: 20x + 7x = 27x 2 + 27x + 24y = 9 + -7x + 7x + -14y Combine like terms: -7x + 7x = 0 2 + 27x + 24y = 9 + 0 + -14y 2 + 27x + 24y = 9 + -14y Add '-2' to each side of the equation. 2 + 27x + -2 + 24y = 9 + -2 + -14y Reorder the terms: 2 + -2 + 27x + 24y = 9 + -2 + -14y Combine like terms: 2 + -2 = 0 0 + 27x + 24y = 9 + -2 + -14y 27x + 24y = 9 + -2 + -14y Combine like terms: 9 + -2 = 7 27x + 24y = 7 + -14y Add '-24y' to each side of the equation. 27x + 24y + -24y = 7 + -14y + -24y Combine like terms: 24y + -24y = 0 27x + 0 = 7 + -14y + -24y 27x = 7 + -14y + -24y Combine like terms: -14y + -24y = -38y 27x = 7 + -38y Divide each side by '27'. x = 0.2592592593 + -1.407407407y Simplifying x = 0.2592592593 + -1.407407407y
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