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Simplifying 5(2x + 6y + 3) = 0 Reorder the terms: 5(3 + 2x + 6y) = 0 (3 * 5 + 2x * 5 + 6y * 5) = 0 (15 + 10x + 30y) = 0 Solving 15 + 10x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 10x + -15 + 30y = 0 + -15 Reorder the terms: 15 + -15 + 10x + 30y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 10x + 30y = 0 + -15 10x + 30y = 0 + -15 Combine like terms: 0 + -15 = -15 10x + 30y = -15 Add '-30y' to each side of the equation. 10x + 30y + -30y = -15 + -30y Combine like terms: 30y + -30y = 0 10x + 0 = -15 + -30y 10x = -15 + -30y Divide each side by '10'. x = -1.5 + -3y Simplifying x = -1.5 + -3y
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