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Simplifying x + (3y + -5z) = 2 + -1(-4y + -2z) Remove parenthesis around (3y + -5z) x + 3y + -5z = 2 + -1(-4y + -2z) x + 3y + -5z = 2 + (-4y * -1 + -2z * -1) x + 3y + -5z = 2 + (4y + 2z) Solving x + 3y + -5z = 2 + 4y + 2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. x + 3y + -3y + -5z = 2 + 4y + -3y + 2z Combine like terms: 3y + -3y = 0 x + 0 + -5z = 2 + 4y + -3y + 2z x + -5z = 2 + 4y + -3y + 2z Combine like terms: 4y + -3y = 1y x + -5z = 2 + 1y + 2z Add '5z' to each side of the equation. x + -5z + 5z = 2 + 1y + 2z + 5z Combine like terms: -5z + 5z = 0 x + 0 = 2 + 1y + 2z + 5z x = 2 + 1y + 2z + 5z Combine like terms: 2z + 5z = 7z x = 2 + 1y + 7z Simplifying x = 2 + 1y + 7z
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