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Simplifying 3(4x + -1(3 + -5y + 7x) + 5y) = 0 Reorder the terms: 3(4x + -1(3 + 7x + -5y) + 5y) = 0 3(4x + (3 * -1 + 7x * -1 + -5y * -1) + 5y) = 0 3(4x + (-3 + -7x + 5y) + 5y) = 0 Reorder the terms: 3(-3 + 4x + -7x + 5y + 5y) = 0 Combine like terms: 4x + -7x = -3x 3(-3 + -3x + 5y + 5y) = 0 Combine like terms: 5y + 5y = 10y 3(-3 + -3x + 10y) = 0 (-3 * 3 + -3x * 3 + 10y * 3) = 0 (-9 + -9x + 30y) = 0 Solving -9 + -9x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -9x + 9 + 30y = 0 + 9 Reorder the terms: -9 + 9 + -9x + 30y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -9x + 30y = 0 + 9 -9x + 30y = 0 + 9 Combine like terms: 0 + 9 = 9 -9x + 30y = 9 Add '-30y' to each side of the equation. -9x + 30y + -30y = 9 + -30y Combine like terms: 30y + -30y = 0 -9x + 0 = 9 + -30y -9x = 9 + -30y Divide each side by '-9'. x = -1 + 3.333333333y Simplifying x = -1 + 3.333333333y
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