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Simplifying 4(6x + 2y + 3) = 0 Reorder the terms: 4(3 + 6x + 2y) = 0 (3 * 4 + 6x * 4 + 2y * 4) = 0 (12 + 24x + 8y) = 0 Solving 12 + 24x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 24x + -12 + 8y = 0 + -12 Reorder the terms: 12 + -12 + 24x + 8y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 24x + 8y = 0 + -12 24x + 8y = 0 + -12 Combine like terms: 0 + -12 = -12 24x + 8y = -12 Add '-8y' to each side of the equation. 24x + 8y + -8y = -12 + -8y Combine like terms: 8y + -8y = 0 24x + 0 = -12 + -8y 24x = -12 + -8y Divide each side by '24'. x = -0.5 + -0.3333333333y Simplifying x = -0.5 + -0.3333333333y
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