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Simplifying 2x + 6 + -1y = 11(y + -3) Reorder the terms: 6 + 2x + -1y = 11(y + -3) Reorder the terms: 6 + 2x + -1y = 11(-3 + y) 6 + 2x + -1y = (-3 * 11 + y * 11) 6 + 2x + -1y = (-33 + 11y) Solving 6 + 2x + -1y = -33 + 11y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2x + -6 + -1y = -33 + -6 + 11y Reorder the terms: 6 + -6 + 2x + -1y = -33 + -6 + 11y Combine like terms: 6 + -6 = 0 0 + 2x + -1y = -33 + -6 + 11y 2x + -1y = -33 + -6 + 11y Combine like terms: -33 + -6 = -39 2x + -1y = -39 + 11y Add 'y' to each side of the equation. 2x + -1y + y = -39 + 11y + y Combine like terms: -1y + y = 0 2x + 0 = -39 + 11y + y 2x = -39 + 11y + y Combine like terms: 11y + y = 12y 2x = -39 + 12y Divide each side by '2'. x = -19.5 + 6y Simplifying x = -19.5 + 6y
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