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Simplifying 5(x + -2y) + -1(4x + 3y) = 0 (x * 5 + -2y * 5) + -1(4x + 3y) = 0 (5x + -10y) + -1(4x + 3y) = 0 5x + -10y + (4x * -1 + 3y * -1) = 0 5x + -10y + (-4x + -3y) = 0 Reorder the terms: 5x + -4x + -10y + -3y = 0 Combine like terms: 5x + -4x = 1x 1x + -10y + -3y = 0 Combine like terms: -10y + -3y = -13y 1x + -13y = 0 Solving 1x + -13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 1x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 1x + 0 = 0 + 13y 1x = 0 + 13y Remove the zero: 1x = 13y Divide each side by '1'. x = 13y Simplifying x = 13y
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