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Simplifying 6(y + x + 2 + x + 4) = 18 Reorder the terms: 6(2 + 4 + x + x + y) = 18 Combine like terms: 2 + 4 = 6 6(6 + x + x + y) = 18 Combine like terms: x + x = 2x 6(6 + 2x + y) = 18 (6 * 6 + 2x * 6 + y * 6) = 18 (36 + 12x + 6y) = 18 Solving 36 + 12x + 6y = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 12x + -36 + 6y = 18 + -36 Reorder the terms: 36 + -36 + 12x + 6y = 18 + -36 Combine like terms: 36 + -36 = 0 0 + 12x + 6y = 18 + -36 12x + 6y = 18 + -36 Combine like terms: 18 + -36 = -18 12x + 6y = -18 Add '-6y' to each side of the equation. 12x + 6y + -6y = -18 + -6y Combine like terms: 6y + -6y = 0 12x + 0 = -18 + -6y 12x = -18 + -6y Divide each side by '12'. x = -1.5 + -0.5y Simplifying x = -1.5 + -0.5y
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