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Simplifying 5(x + y + z) = 150 + 9x (x * 5 + y * 5 + z * 5) = 150 + 9x (5x + 5y + 5z) = 150 + 9x Solving 5x + 5y + 5z = 150 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5x + 5y + -9x + 5z = 150 + 9x + -9x Reorder the terms: 5x + -9x + 5y + 5z = 150 + 9x + -9x Combine like terms: 5x + -9x = -4x -4x + 5y + 5z = 150 + 9x + -9x Combine like terms: 9x + -9x = 0 -4x + 5y + 5z = 150 + 0 -4x + 5y + 5z = 150 Add '-5y' to each side of the equation. -4x + 5y + -5y + 5z = 150 + -5y Combine like terms: 5y + -5y = 0 -4x + 0 + 5z = 150 + -5y -4x + 5z = 150 + -5y Add '-5z' to each side of the equation. -4x + 5z + -5z = 150 + -5y + -5z Combine like terms: 5z + -5z = 0 -4x + 0 = 150 + -5y + -5z -4x = 150 + -5y + -5z Divide each side by '-4'. x = -37.5 + 1.25y + 1.25z Simplifying x = -37.5 + 1.25y + 1.25z
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