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Simplifying -3x + 5y + -2z = 12 Solving -3x + 5y + -2z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -3x + 5y + -5y + -2z = 12 + -5y Combine like terms: 5y + -5y = 0 -3x + 0 + -2z = 12 + -5y -3x + -2z = 12 + -5y Add '2z' to each side of the equation. -3x + -2z + 2z = 12 + -5y + 2z Combine like terms: -2z + 2z = 0 -3x + 0 = 12 + -5y + 2z -3x = 12 + -5y + 2z Divide each side by '-3'. x = -4 + 1.666666667y + -0.6666666667z Simplifying x = -4 + 1.666666667y + -0.6666666667z
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