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Simplifying (10x + -3y) + -1(8y + -1x) = 0 Remove parenthesis around (10x + -3y) 10x + -3y + -1(8y + -1x) = 0 Reorder the terms: 10x + -3y + -1(-1x + 8y) = 0 10x + -3y + (-1x * -1 + 8y * -1) = 0 10x + -3y + (1x + -8y) = 0 Reorder the terms: 10x + 1x + -3y + -8y = 0 Combine like terms: 10x + 1x = 11x 11x + -3y + -8y = 0 Combine like terms: -3y + -8y = -11y 11x + -11y = 0 Solving 11x + -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. 11x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 11x + 0 = 0 + 11y 11x = 0 + 11y Remove the zero: 11x = 11y Divide each side by '11'. x = y Simplifying x = y
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