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Simplifying 7x + -4y + 8.04 + -2.7x = 5y + -0.8x + 2 Reorder the terms: 8.04 + 7x + -2.7x + -4y = 5y + -0.8x + 2 Combine like terms: 7x + -2.7x = 4.3x 8.04 + 4.3x + -4y = 5y + -0.8x + 2 Reorder the terms: 8.04 + 4.3x + -4y = 2 + -0.8x + 5y Solving 8.04 + 4.3x + -4y = 2 + -0.8x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. 8.04 + 4.3x + 0.8x + -4y = 2 + -0.8x + 0.8x + 5y Combine like terms: 4.3x + 0.8x = 5.1x 8.04 + 5.1x + -4y = 2 + -0.8x + 0.8x + 5y Combine like terms: -0.8x + 0.8x = 0.0 8.04 + 5.1x + -4y = 2 + 0.0 + 5y 8.04 + 5.1x + -4y = 2 + 5y Add '-8.04' to each side of the equation. 8.04 + 5.1x + -8.04 + -4y = 2 + -8.04 + 5y Reorder the terms: 8.04 + -8.04 + 5.1x + -4y = 2 + -8.04 + 5y Combine like terms: 8.04 + -8.04 = 0.00 0.00 + 5.1x + -4y = 2 + -8.04 + 5y 5.1x + -4y = 2 + -8.04 + 5y Combine like terms: 2 + -8.04 = -6.04 5.1x + -4y = -6.04 + 5y Add '4y' to each side of the equation. 5.1x + -4y + 4y = -6.04 + 5y + 4y Combine like terms: -4y + 4y = 0 5.1x + 0 = -6.04 + 5y + 4y 5.1x = -6.04 + 5y + 4y Combine like terms: 5y + 4y = 9y 5.1x = -6.04 + 9y Divide each side by '5.1'. x = -1.184313725 + 1.764705882y Simplifying x = -1.184313725 + 1.764705882y
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