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Simplifying 2[5(x + y) + -3(4x + -6y)] = 0 2[(x * 5 + y * 5) + -3(4x + -6y)] = 0 2[(5x + 5y) + -3(4x + -6y)] = 0 2[5x + 5y + (4x * -3 + -6y * -3)] = 0 2[5x + 5y + (-12x + 18y)] = 0 Reorder the terms: 2[5x + -12x + 5y + 18y] = 0 Combine like terms: 5x + -12x = -7x 2[-7x + 5y + 18y] = 0 Combine like terms: 5y + 18y = 23y 2[-7x + 23y] = 0 [-7x * 2 + 23y * 2] = 0 [-14x + 46y] = 0 Solving -14x + 46y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46y' to each side of the equation. -14x + 46y + -46y = 0 + -46y Combine like terms: 46y + -46y = 0 -14x + 0 = 0 + -46y -14x = 0 + -46y Remove the zero: -14x = -46y Divide each side by '-14'. x = 3.285714286y Simplifying x = 3.285714286y
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