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Simplifying 4x + 10y + 15z = 82 Solving 4x + 10y + 15z = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 4x + 10y + -10y + 15z = 82 + -10y Combine like terms: 10y + -10y = 0 4x + 0 + 15z = 82 + -10y 4x + 15z = 82 + -10y Add '-15z' to each side of the equation. 4x + 15z + -15z = 82 + -10y + -15z Combine like terms: 15z + -15z = 0 4x + 0 = 82 + -10y + -15z 4x = 82 + -10y + -15z Divide each side by '4'. x = 20.5 + -2.5y + -3.75z Simplifying x = 20.5 + -2.5y + -3.75z
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