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Simplifying -8x + -2(9 + -11y) = 10 + -2y -8x + (9 * -2 + -11y * -2) = 10 + -2y -8x + (-18 + 22y) = 10 + -2y Reorder the terms: -18 + -8x + 22y = 10 + -2y Solving -18 + -8x + 22y = 10 + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -8x + 18 + 22y = 10 + 18 + -2y Reorder the terms: -18 + 18 + -8x + 22y = 10 + 18 + -2y Combine like terms: -18 + 18 = 0 0 + -8x + 22y = 10 + 18 + -2y -8x + 22y = 10 + 18 + -2y Combine like terms: 10 + 18 = 28 -8x + 22y = 28 + -2y Add '-22y' to each side of the equation. -8x + 22y + -22y = 28 + -2y + -22y Combine like terms: 22y + -22y = 0 -8x + 0 = 28 + -2y + -22y -8x = 28 + -2y + -22y Combine like terms: -2y + -22y = -24y -8x = 28 + -24y Divide each side by '-8'. x = -3.5 + 3y Simplifying x = -3.5 + 3y
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