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Simplifying (7x + -18y + -10) + -1(11x + -4y + 11) = 0 Reorder the terms: (-10 + 7x + -18y) + -1(11x + -4y + 11) = 0 Remove parenthesis around (-10 + 7x + -18y) -10 + 7x + -18y + -1(11x + -4y + 11) = 0 Reorder the terms: -10 + 7x + -18y + -1(11 + 11x + -4y) = 0 -10 + 7x + -18y + (11 * -1 + 11x * -1 + -4y * -1) = 0 -10 + 7x + -18y + (-11 + -11x + 4y) = 0 Reorder the terms: -10 + -11 + 7x + -11x + -18y + 4y = 0 Combine like terms: -10 + -11 = -21 -21 + 7x + -11x + -18y + 4y = 0 Combine like terms: 7x + -11x = -4x -21 + -4x + -18y + 4y = 0 Combine like terms: -18y + 4y = -14y -21 + -4x + -14y = 0 Solving -21 + -4x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -4x + 21 + -14y = 0 + 21 Reorder the terms: -21 + 21 + -4x + -14y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -4x + -14y = 0 + 21 -4x + -14y = 0 + 21 Combine like terms: 0 + 21 = 21 -4x + -14y = 21 Add '14y' to each side of the equation. -4x + -14y + 14y = 21 + 14y Combine like terms: -14y + 14y = 0 -4x + 0 = 21 + 14y -4x = 21 + 14y Divide each side by '-4'. x = -5.25 + -3.5y Simplifying x = -5.25 + -3.5y
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