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Simplifying 4x + 5y + 2z = x Solving 4x + 5y + 2z = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4x + 5y + -1x + 2z = x + -1x Reorder the terms: 4x + -1x + 5y + 2z = x + -1x Combine like terms: 4x + -1x = 3x 3x + 5y + 2z = x + -1x Combine like terms: x + -1x = 0 3x + 5y + 2z = 0 Add '-5y' to each side of the equation. 3x + 5y + -5y + 2z = 0 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + 2z = 0 + -5y 3x + 2z = 0 + -5y Remove the zero: 3x + 2z = -5y Add '-2z' to each side of the equation. 3x + 2z + -2z = -5y + -2z Combine like terms: 2z + -2z = 0 3x + 0 = -5y + -2z 3x = -5y + -2z Divide each side by '3'. x = -1.666666667y + -0.6666666667z Simplifying x = -1.666666667y + -0.6666666667z
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