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Simplifying (7x + -3y) + -1(8y + 3x) = 0 Remove parenthesis around (7x + -3y) 7x + -3y + -1(8y + 3x) = 0 Reorder the terms: 7x + -3y + -1(3x + 8y) = 0 7x + -3y + (3x * -1 + 8y * -1) = 0 7x + -3y + (-3x + -8y) = 0 Reorder the terms: 7x + -3x + -3y + -8y = 0 Combine like terms: 7x + -3x = 4x 4x + -3y + -8y = 0 Combine like terms: -3y + -8y = -11y 4x + -11y = 0 Solving 4x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 4x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 4x + 0 = 0 + 11y 4x = 0 + 11y Remove the zero: 4x = 11y Divide each side by '4'. x = 2.75y Simplifying x = 2.75y
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