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