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Simplifying 5x + y + z = 100 + -1y + x + 6c Reorder the terms: 5x + y + z = 100 + 6c + x + -1y Solving 5x + y + z = 100 + 6c + x + -1y 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. 5x + y + -1x + z = 100 + 6c + x + -1x + -1y Reorder the terms: 5x + -1x + y + z = 100 + 6c + x + -1x + -1y Combine like terms: 5x + -1x = 4x 4x + y + z = 100 + 6c + x + -1x + -1y Combine like terms: x + -1x = 0 4x + y + z = 100 + 6c + 0 + -1y 4x + y + z = 100 + 6c + -1y Add '-1y' to each side of the equation. 4x + y + -1y + z = 100 + 6c + -1y + -1y Combine like terms: y + -1y = 0 4x + 0 + z = 100 + 6c + -1y + -1y 4x + z = 100 + 6c + -1y + -1y Combine like terms: -1y + -1y = -2y 4x + z = 100 + 6c + -2y Add '-1z' to each side of the equation. 4x + z + -1z = 100 + 6c + -2y + -1z Combine like terms: z + -1z = 0 4x + 0 = 100 + 6c + -2y + -1z 4x = 100 + 6c + -2y + -1z Divide each side by '4'. x = 25 + 1.5c + -0.5y + -0.25z Simplifying x = 25 + 1.5c + -0.5y + -0.25z
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