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Simplifying (-2x + 3y + -4z) + (-5x + 10y) = 0 Remove parenthesis around (-2x + 3y + -4z) -2x + 3y + -4z + (-5x + 10y) = 0 Remove parenthesis around (-5x + 10y) -2x + 3y + -4z + -5x + 10y = 0 Reorder the terms: -2x + -5x + 3y + 10y + -4z = 0 Combine like terms: -2x + -5x = -7x -7x + 3y + 10y + -4z = 0 Combine like terms: 3y + 10y = 13y -7x + 13y + -4z = 0 Solving -7x + 13y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. -7x + 13y + -13y + -4z = 0 + -13y Combine like terms: 13y + -13y = 0 -7x + 0 + -4z = 0 + -13y -7x + -4z = 0 + -13y Remove the zero: -7x + -4z = -13y Add '4z' to each side of the equation. -7x + -4z + 4z = -13y + 4z Combine like terms: -4z + 4z = 0 -7x + 0 = -13y + 4z -7x = -13y + 4z Divide each side by '-7'. x = 1.857142857y + -0.5714285714z Simplifying x = 1.857142857y + -0.5714285714z
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