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Simplifying 5x + 7(2 + -5) + -3(y + -5) = 0 Combine like terms: 2 + -5 = -3 5x + 7(-3) + -3(y + -5) = 0 Multiply 7 * -3 5x + -21 + -3(y + -5) = 0 Reorder the terms: 5x + -21 + -3(-5 + y) = 0 5x + -21 + (-5 * -3 + y * -3) = 0 5x + -21 + (15 + -3y) = 0 Reorder the terms: -21 + 15 + 5x + -3y = 0 Combine like terms: -21 + 15 = -6 -6 + 5x + -3y = 0 Solving -6 + 5x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5x + 6 + -3y = 0 + 6 Reorder the terms: -6 + 6 + 5x + -3y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x + -3y = 0 + 6 5x + -3y = 0 + 6 Combine like terms: 0 + 6 = 6 5x + -3y = 6 Add '3y' to each side of the equation. 5x + -3y + 3y = 6 + 3y Combine like terms: -3y + 3y = 0 5x + 0 = 6 + 3y 5x = 6 + 3y Divide each side by '5'. x = 1.2 + 0.6y Simplifying x = 1.2 + 0.6y
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