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Simplifying -4[5(2x + 3y) + -4(x + 2y)] = 0 -4[(2x * 5 + 3y * 5) + -4(x + 2y)] = 0 -4[(10x + 15y) + -4(x + 2y)] = 0 -4[10x + 15y + (x * -4 + 2y * -4)] = 0 -4[10x + 15y + (-4x + -8y)] = 0 Reorder the terms: -4[10x + -4x + 15y + -8y] = 0 Combine like terms: 10x + -4x = 6x -4[6x + 15y + -8y] = 0 Combine like terms: 15y + -8y = 7y -4[6x + 7y] = 0 [6x * -4 + 7y * -4] = 0 [-24x + -28y] = 0 Solving -24x + -28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28y' to each side of the equation. -24x + -28y + 28y = 0 + 28y Combine like terms: -28y + 28y = 0 -24x + 0 = 0 + 28y -24x = 0 + 28y Remove the zero: -24x = 28y Divide each side by '-24'. x = -1.166666667y Simplifying x = -1.166666667y
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