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Simplifying 2x + 4y + 2z = x + y + 9z Solving 2x + 4y + 2z = x + y + 9z 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. 2x + 4y + -1x + 2z = x + y + -1x + 9z Reorder the terms: 2x + -1x + 4y + 2z = x + y + -1x + 9z Combine like terms: 2x + -1x = 1x 1x + 4y + 2z = x + y + -1x + 9z Reorder the terms: 1x + 4y + 2z = x + -1x + y + 9z Combine like terms: x + -1x = 0 1x + 4y + 2z = 0 + y + 9z 1x + 4y + 2z = y + 9z Add '-4y' to each side of the equation. 1x + 4y + -4y + 2z = y + -4y + 9z Combine like terms: 4y + -4y = 0 1x + 0 + 2z = y + -4y + 9z 1x + 2z = y + -4y + 9z Combine like terms: y + -4y = -3y 1x + 2z = -3y + 9z Add '-2z' to each side of the equation. 1x + 2z + -2z = -3y + 9z + -2z Combine like terms: 2z + -2z = 0 1x + 0 = -3y + 9z + -2z 1x = -3y + 9z + -2z Combine like terms: 9z + -2z = 7z 1x = -3y + 7z Divide each side by '1'. x = -3y + 7z Simplifying x = -3y + 7z
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