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Simplifying 4(7x + -3y) + -1(x + 5y) = 0 (7x * 4 + -3y * 4) + -1(x + 5y) = 0 (28x + -12y) + -1(x + 5y) = 0 28x + -12y + (x * -1 + 5y * -1) = 0 28x + -12y + (-1x + -5y) = 0 Reorder the terms: 28x + -1x + -12y + -5y = 0 Combine like terms: 28x + -1x = 27x 27x + -12y + -5y = 0 Combine like terms: -12y + -5y = -17y 27x + -17y = 0 Solving 27x + -17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17y' to each side of the equation. 27x + -17y + 17y = 0 + 17y Combine like terms: -17y + 17y = 0 27x + 0 = 0 + 17y 27x = 0 + 17y Remove the zero: 27x = 17y Divide each side by '27'. x = 0.6296296296y Simplifying x = 0.6296296296y
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