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Simplifying 10x + 7y + 5z = 1176 Solving 10x + 7y + 5z = 1176 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 10x + 7y + -7y + 5z = 1176 + -7y Combine like terms: 7y + -7y = 0 10x + 0 + 5z = 1176 + -7y 10x + 5z = 1176 + -7y Add '-5z' to each side of the equation. 10x + 5z + -5z = 1176 + -7y + -5z Combine like terms: 5z + -5z = 0 10x + 0 = 1176 + -7y + -5z 10x = 1176 + -7y + -5z Divide each side by '10'. x = 117.6 + -0.7y + -0.5z Simplifying x = 117.6 + -0.7y + -0.5z
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