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Simplifying 3(4x + -2y + 10) = 0 Reorder the terms: 3(10 + 4x + -2y) = 0 (10 * 3 + 4x * 3 + -2y * 3) = 0 (30 + 12x + -6y) = 0 Solving 30 + 12x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 12x + -30 + -6y = 0 + -30 Reorder the terms: 30 + -30 + 12x + -6y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 12x + -6y = 0 + -30 12x + -6y = 0 + -30 Combine like terms: 0 + -30 = -30 12x + -6y = -30 Add '6y' to each side of the equation. 12x + -6y + 6y = -30 + 6y Combine like terms: -6y + 6y = 0 12x + 0 = -30 + 6y 12x = -30 + 6y Divide each side by '12'. x = -2.5 + 0.5y Simplifying x = -2.5 + 0.5y
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