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Simplifying 5x + -6y + 4(x + -5) = 0 Reorder the terms: 5x + -6y + 4(-5 + x) = 0 5x + -6y + (-5 * 4 + x * 4) = 0 5x + -6y + (-20 + 4x) = 0 Reorder the terms: -20 + 5x + 4x + -6y = 0 Combine like terms: 5x + 4x = 9x -20 + 9x + -6y = 0 Solving -20 + 9x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 9x + 20 + -6y = 0 + 20 Reorder the terms: -20 + 20 + 9x + -6y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 9x + -6y = 0 + 20 9x + -6y = 0 + 20 Combine like terms: 0 + 20 = 20 9x + -6y = 20 Add '6y' to each side of the equation. 9x + -6y + 6y = 20 + 6y Combine like terms: -6y + 6y = 0 9x + 0 = 20 + 6y 9x = 20 + 6y Divide each side by '9'. x = 2.222222222 + 0.6666666667y Simplifying x = 2.222222222 + 0.6666666667y
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