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Simplifying (4x + -4y + 5z) + -2(-4x + 7y + -5z) = 0 Remove parenthesis around (4x + -4y + 5z) 4x + -4y + 5z + -2(-4x + 7y + -5z) = 0 4x + -4y + 5z + (-4x * -2 + 7y * -2 + -5z * -2) = 0 4x + -4y + 5z + (8x + -14y + 10z) = 0 Reorder the terms: 4x + 8x + -4y + -14y + 5z + 10z = 0 Combine like terms: 4x + 8x = 12x 12x + -4y + -14y + 5z + 10z = 0 Combine like terms: -4y + -14y = -18y 12x + -18y + 5z + 10z = 0 Combine like terms: 5z + 10z = 15z 12x + -18y + 15z = 0 Solving 12x + -18y + 15z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y' to each side of the equation. 12x + -18y + 18y + 15z = 0 + 18y Combine like terms: -18y + 18y = 0 12x + 0 + 15z = 0 + 18y 12x + 15z = 0 + 18y Remove the zero: 12x + 15z = 18y Add '-15z' to each side of the equation. 12x + 15z + -15z = 18y + -15z Combine like terms: 15z + -15z = 0 12x + 0 = 18y + -15z 12x = 18y + -15z Divide each side by '12'. x = 1.5y + -1.25z Simplifying x = 1.5y + -1.25z
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