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Simplifying 6(4x + -1(5 + -7y + 2x) + 3y) = 0 Reorder the terms: 6(4x + -1(5 + 2x + -7y) + 3y) = 0 6(4x + (5 * -1 + 2x * -1 + -7y * -1) + 3y) = 0 6(4x + (-5 + -2x + 7y) + 3y) = 0 Reorder the terms: 6(-5 + 4x + -2x + 7y + 3y) = 0 Combine like terms: 4x + -2x = 2x 6(-5 + 2x + 7y + 3y) = 0 Combine like terms: 7y + 3y = 10y 6(-5 + 2x + 10y) = 0 (-5 * 6 + 2x * 6 + 10y * 6) = 0 (-30 + 12x + 60y) = 0 Solving -30 + 12x + 60y = 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 + 60y = 0 + 30 Reorder the terms: -30 + 30 + 12x + 60y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 12x + 60y = 0 + 30 12x + 60y = 0 + 30 Combine like terms: 0 + 30 = 30 12x + 60y = 30 Add '-60y' to each side of the equation. 12x + 60y + -60y = 30 + -60y Combine like terms: 60y + -60y = 0 12x + 0 = 30 + -60y 12x = 30 + -60y Divide each side by '12'. x = 2.5 + -5y Simplifying x = 2.5 + -5y
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