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Simplifying 4[5(x + y) + -3(4x + -2y)] = 0 4[(x * 5 + y * 5) + -3(4x + -2y)] = 0 4[(5x + 5y) + -3(4x + -2y)] = 0 4[5x + 5y + (4x * -3 + -2y * -3)] = 0 4[5x + 5y + (-12x + 6y)] = 0 Reorder the terms: 4[5x + -12x + 5y + 6y] = 0 Combine like terms: 5x + -12x = -7x 4[-7x + 5y + 6y] = 0 Combine like terms: 5y + 6y = 11y 4[-7x + 11y] = 0 [-7x * 4 + 11y * 4] = 0 [-28x + 44y] = 0 Solving -28x + 44y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44y' to each side of the equation. -28x + 44y + -44y = 0 + -44y Combine like terms: 44y + -44y = 0 -28x + 0 = 0 + -44y -28x = 0 + -44y Remove the zero: -28x = -44y Divide each side by '-28'. x = 1.571428571y Simplifying x = 1.571428571y
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