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Simplifying x + 6(y + 3) + -1(3y + -1x) = 0 Reorder the terms: x + 6(3 + y) + -1(3y + -1x) = 0 x + (3 * 6 + y * 6) + -1(3y + -1x) = 0 x + (18 + 6y) + -1(3y + -1x) = 0 Reorder the terms: x + 18 + 6y + -1(-1x + 3y) = 0 x + 18 + 6y + (-1x * -1 + 3y * -1) = 0 x + 18 + 6y + (1x + -3y) = 0 Reorder the terms: 18 + x + 1x + 6y + -3y = 0 Combine like terms: x + 1x = 2x 18 + 2x + 6y + -3y = 0 Combine like terms: 6y + -3y = 3y 18 + 2x + 3y = 0 Solving 18 + 2x + 3y = 0 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 + 2x + -18 + 3y = 0 + -18 Reorder the terms: 18 + -18 + 2x + 3y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2x + 3y = 0 + -18 2x + 3y = 0 + -18 Combine like terms: 0 + -18 = -18 2x + 3y = -18 Add '-3y' to each side of the equation. 2x + 3y + -3y = -18 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = -18 + -3y 2x = -18 + -3y Divide each side by '2'. x = -9 + -1.5y Simplifying x = -9 + -1.5y
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