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Simplifying -3x + 2y + 4z = 5 Solving -3x + 2y + 4z = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -3x + 2y + -2y + 4z = 5 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 + 4z = 5 + -2y -3x + 4z = 5 + -2y Add '-4z' to each side of the equation. -3x + 4z + -4z = 5 + -2y + -4z Combine like terms: 4z + -4z = 0 -3x + 0 = 5 + -2y + -4z -3x = 5 + -2y + -4z Divide each side by '-3'. x = -1.666666667 + 0.6666666667y + 1.333333333z Simplifying x = -1.666666667 + 0.6666666667y + 1.333333333z
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