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Simplifying -3[5(4x + -1y) + -6(x + 3y)] = 0 -3[(4x * 5 + -1y * 5) + -6(x + 3y)] = 0 -3[(20x + -5y) + -6(x + 3y)] = 0 -3[20x + -5y + (x * -6 + 3y * -6)] = 0 -3[20x + -5y + (-6x + -18y)] = 0 Reorder the terms: -3[20x + -6x + -5y + -18y] = 0 Combine like terms: 20x + -6x = 14x -3[14x + -5y + -18y] = 0 Combine like terms: -5y + -18y = -23y -3[14x + -23y] = 0 [14x * -3 + -23y * -3] = 0 [-42x + 69y] = 0 Solving -42x + 69y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69y' to each side of the equation. -42x + 69y + -69y = 0 + -69y Combine like terms: 69y + -69y = 0 -42x + 0 = 0 + -69y -42x = 0 + -69y Remove the zero: -42x = -69y Divide each side by '-42'. x = 1.642857143y Simplifying x = 1.642857143y
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