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Simplifying (10x + -3y) + -1(8y + 1) = 0 Remove parenthesis around (10x + -3y) 10x + -3y + -1(8y + 1) = 0 Reorder the terms: 10x + -3y + -1(1 + 8y) = 0 10x + -3y + (1 * -1 + 8y * -1) = 0 10x + -3y + (-1 + -8y) = 0 Reorder the terms: -1 + 10x + -3y + -8y = 0 Combine like terms: -3y + -8y = -11y -1 + 10x + -11y = 0 Solving -1 + 10x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 10x + 1 + -11y = 0 + 1 Reorder the terms: -1 + 1 + 10x + -11y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x + -11y = 0 + 1 10x + -11y = 0 + 1 Combine like terms: 0 + 1 = 1 10x + -11y = 1 Add '11y' to each side of the equation. 10x + -11y + 11y = 1 + 11y Combine like terms: -11y + 11y = 0 10x + 0 = 1 + 11y 10x = 1 + 11y Divide each side by '10'. x = 0.1 + 1.1y Simplifying x = 0.1 + 1.1y
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