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Simplifying (2x + 3y + -4z) + -1(x + -1y + -1x) = 0 Remove parenthesis around (2x + 3y + -4z) 2x + 3y + -4z + -1(x + -1y + -1x) = 0 Reorder the terms: 2x + 3y + -4z + -1(x + -1x + -1y) = 0 Combine like terms: x + -1x = 0 2x + 3y + -4z + -1(0 + -1y) = 0 2x + 3y + -4z + -1(-1y) = 0 Remove parenthesis around (-1y) 2x + 3y + -4z + -1 * -1y = 0 Multiply -1 * -1 2x + 3y + -4z + 1y = 0 Reorder the terms: 2x + 3y + 1y + -4z = 0 Combine like terms: 3y + 1y = 4y 2x + 4y + -4z = 0 Solving 2x + 4y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 2x + 4y + -4y + -4z = 0 + -4y Combine like terms: 4y + -4y = 0 2x + 0 + -4z = 0 + -4y 2x + -4z = 0 + -4y Remove the zero: 2x + -4z = -4y Add '4z' to each side of the equation. 2x + -4z + 4z = -4y + 4z Combine like terms: -4z + 4z = 0 2x + 0 = -4y + 4z 2x = -4y + 4z Divide each side by '2'. x = -2y + 2z Simplifying x = -2y + 2z
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