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Simplifying 3(4x + -1(5 + -5y + 3x) + 5y) = 0 Reorder the terms: 3(4x + -1(5 + 3x + -5y) + 5y) = 0 3(4x + (5 * -1 + 3x * -1 + -5y * -1) + 5y) = 0 3(4x + (-5 + -3x + 5y) + 5y) = 0 Reorder the terms: 3(-5 + 4x + -3x + 5y + 5y) = 0 Combine like terms: 4x + -3x = 1x 3(-5 + 1x + 5y + 5y) = 0 Combine like terms: 5y + 5y = 10y 3(-5 + 1x + 10y) = 0 (-5 * 3 + 1x * 3 + 10y * 3) = 0 (-15 + 3x + 30y) = 0 Solving -15 + 3x + 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 + 3x + 15 + 30y = 0 + 15 Reorder the terms: -15 + 15 + 3x + 30y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3x + 30y = 0 + 15 3x + 30y = 0 + 15 Combine like terms: 0 + 15 = 15 3x + 30y = 15 Add '-30y' to each side of the equation. 3x + 30y + -30y = 15 + -30y Combine like terms: 30y + -30y = 0 3x + 0 = 15 + -30y 3x = 15 + -30y Divide each side by '3'. x = 5 + -10y Simplifying x = 5 + -10y
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