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Simplifying 3(-1x + -4y) + -4(5y + 7x) = 0 (-1x * 3 + -4y * 3) + -4(5y + 7x) = 0 (-3x + -12y) + -4(5y + 7x) = 0 Reorder the terms: -3x + -12y + -4(7x + 5y) = 0 -3x + -12y + (7x * -4 + 5y * -4) = 0 -3x + -12y + (-28x + -20y) = 0 Reorder the terms: -3x + -28x + -12y + -20y = 0 Combine like terms: -3x + -28x = -31x -31x + -12y + -20y = 0 Combine like terms: -12y + -20y = -32y -31x + -32y = 0 Solving -31x + -32y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32y' to each side of the equation. -31x + -32y + 32y = 0 + 32y Combine like terms: -32y + 32y = 0 -31x + 0 = 0 + 32y -31x = 0 + 32y Remove the zero: -31x = 32y Divide each side by '-31'. x = -1.032258065y Simplifying x = -1.032258065y
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