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Simplifying 6(2 + 4x) + -2(y + -6) = 0 (2 * 6 + 4x * 6) + -2(y + -6) = 0 (12 + 24x) + -2(y + -6) = 0 Reorder the terms: 12 + 24x + -2(-6 + y) = 0 12 + 24x + (-6 * -2 + y * -2) = 0 12 + 24x + (12 + -2y) = 0 Reorder the terms: 12 + 12 + 24x + -2y = 0 Combine like terms: 12 + 12 = 24 24 + 24x + -2y = 0 Solving 24 + 24x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 24x + -24 + -2y = 0 + -24 Reorder the terms: 24 + -24 + 24x + -2y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 24x + -2y = 0 + -24 24x + -2y = 0 + -24 Combine like terms: 0 + -24 = -24 24x + -2y = -24 Add '2y' to each side of the equation. 24x + -2y + 2y = -24 + 2y Combine like terms: -2y + 2y = 0 24x + 0 = -24 + 2y 24x = -24 + 2y Divide each side by '24'. x = -1 + 0.08333333333y Simplifying x = -1 + 0.08333333333y
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