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Simplifying 5(x + 3y) + -3(2x + -1y) = 0 (x * 5 + 3y * 5) + -3(2x + -1y) = 0 (5x + 15y) + -3(2x + -1y) = 0 5x + 15y + (2x * -3 + -1y * -3) = 0 5x + 15y + (-6x + 3y) = 0 Reorder the terms: 5x + -6x + 15y + 3y = 0 Combine like terms: 5x + -6x = -1x -1x + 15y + 3y = 0 Combine like terms: 15y + 3y = 18y -1x + 18y = 0 Solving -1x + 18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18y' to each side of the equation. -1x + 18y + -18y = 0 + -18y Combine like terms: 18y + -18y = 0 -1x + 0 = 0 + -18y -1x = 0 + -18y Remove the zero: -1x = -18y Divide each side by '-1'. x = 18y Simplifying x = 18y
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