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Simplifying 5x + -4y = 2 + -10x + 8y + 7 Reorder the terms: 5x + -4y = 2 + 7 + -10x + 8y Combine like terms: 2 + 7 = 9 5x + -4y = 9 + -10x + 8y Solving 5x + -4y = 9 + -10x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 5x + 10x + -4y = 9 + -10x + 10x + 8y Combine like terms: 5x + 10x = 15x 15x + -4y = 9 + -10x + 10x + 8y Combine like terms: -10x + 10x = 0 15x + -4y = 9 + 0 + 8y 15x + -4y = 9 + 8y Add '4y' to each side of the equation. 15x + -4y + 4y = 9 + 8y + 4y Combine like terms: -4y + 4y = 0 15x + 0 = 9 + 8y + 4y 15x = 9 + 8y + 4y Combine like terms: 8y + 4y = 12y 15x = 9 + 12y Divide each side by '15'. x = 0.6 + 0.8y Simplifying x = 0.6 + 0.8y
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