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