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Simplifying 5z + 9y + 12x + -42 = 360 Reorder the terms: -42 + 12x + 9y + 5z = 360 Solving -42 + 12x + 9y + 5z = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 12x + 9y + 42 + 5z = 360 + 42 Reorder the terms: -42 + 42 + 12x + 9y + 5z = 360 + 42 Combine like terms: -42 + 42 = 0 0 + 12x + 9y + 5z = 360 + 42 12x + 9y + 5z = 360 + 42 Combine like terms: 360 + 42 = 402 12x + 9y + 5z = 402 Add '-9y' to each side of the equation. 12x + 9y + -9y + 5z = 402 + -9y Combine like terms: 9y + -9y = 0 12x + 0 + 5z = 402 + -9y 12x + 5z = 402 + -9y Add '-5z' to each side of the equation. 12x + 5z + -5z = 402 + -9y + -5z Combine like terms: 5z + -5z = 0 12x + 0 = 402 + -9y + -5z 12x = 402 + -9y + -5z Divide each side by '12'. x = 33.5 + -0.75y + -0.4166666667z Simplifying x = 33.5 + -0.75y + -0.4166666667z
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