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Simplifying 3(x + 6) + 8y = 0 Reorder the terms: 3(6 + x) + 8y = 0 (6 * 3 + x * 3) + 8y = 0 (18 + 3x) + 8y = 0 Solving 18 + 3x + 8y = 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 + 3x + -18 + 8y = 0 + -18 Reorder the terms: 18 + -18 + 3x + 8y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3x + 8y = 0 + -18 3x + 8y = 0 + -18 Combine like terms: 0 + -18 = -18 3x + 8y = -18 Add '-8y' to each side of the equation. 3x + 8y + -8y = -18 + -8y Combine like terms: 8y + -8y = 0 3x + 0 = -18 + -8y 3x = -18 + -8y Divide each side by '3'. x = -6 + -2.666666667y Simplifying x = -6 + -2.666666667y
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