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Simplifying 5x + -2(x + -3y) + -1(4x + y) = 0 5x + (x * -2 + -3y * -2) + -1(4x + y) = 0 5x + (-2x + 6y) + -1(4x + y) = 0 5x + -2x + 6y + (4x * -1 + y * -1) = 0 5x + -2x + 6y + (-4x + -1y) = 0 Reorder the terms: 5x + -2x + -4x + 6y + -1y = 0 Combine like terms: 5x + -2x = 3x 3x + -4x + 6y + -1y = 0 Combine like terms: 3x + -4x = -1x -1x + 6y + -1y = 0 Combine like terms: 6y + -1y = 5y -1x + 5y = 0 Solving -1x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -1x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 0 + -5y -1x = 0 + -5y Remove the zero: -1x = -5y Divide each side by '-1'. x = 5y Simplifying x = 5y
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