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Simplifying 5(x + 3y) + -1(19x + -4y) = 0 (x * 5 + 3y * 5) + -1(19x + -4y) = 0 (5x + 15y) + -1(19x + -4y) = 0 5x + 15y + (19x * -1 + -4y * -1) = 0 5x + 15y + (-19x + 4y) = 0 Reorder the terms: 5x + -19x + 15y + 4y = 0 Combine like terms: 5x + -19x = -14x -14x + 15y + 4y = 0 Combine like terms: 15y + 4y = 19y -14x + 19y = 0 Solving -14x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19y' to each side of the equation. -14x + 19y + -19y = 0 + -19y Combine like terms: 19y + -19y = 0 -14x + 0 = 0 + -19y -14x = 0 + -19y Remove the zero: -14x = -19y Divide each side by '-14'. x = 1.357142857y Simplifying x = 1.357142857y
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