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Simplifying 2(3y + -1) + 2(x + 8) = 0 Reorder the terms: 2(-1 + 3y) + 2(x + 8) = 0 (-1 * 2 + 3y * 2) + 2(x + 8) = 0 (-2 + 6y) + 2(x + 8) = 0 Reorder the terms: -2 + 6y + 2(8 + x) = 0 -2 + 6y + (8 * 2 + x * 2) = 0 -2 + 6y + (16 + 2x) = 0 Reorder the terms: -2 + 16 + 2x + 6y = 0 Combine like terms: -2 + 16 = 14 14 + 2x + 6y = 0 Solving 14 + 2x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2x + -14 + 6y = 0 + -14 Reorder the terms: 14 + -14 + 2x + 6y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2x + 6y = 0 + -14 2x + 6y = 0 + -14 Combine like terms: 0 + -14 = -14 2x + 6y = -14 Add '-6y' to each side of the equation. 2x + 6y + -6y = -14 + -6y Combine like terms: 6y + -6y = 0 2x + 0 = -14 + -6y 2x = -14 + -6y Divide each side by '2'. x = -7 + -3y Simplifying x = -7 + -3y
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