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Simplifying 4x + 3z + -2 + 12y + 2 + 16y + -1z + 6y + 16 = 360 Reorder the terms: -2 + 2 + 16 + 4x + 12y + 16y + 6y + 3z + -1z = 360 Combine like terms: -2 + 2 = 0 0 + 16 + 4x + 12y + 16y + 6y + 3z + -1z = 360 16 + 4x + 12y + 16y + 6y + 3z + -1z = 360 Combine like terms: 12y + 16y = 28y 16 + 4x + 28y + 6y + 3z + -1z = 360 Combine like terms: 28y + 6y = 34y 16 + 4x + 34y + 3z + -1z = 360 Combine like terms: 3z + -1z = 2z 16 + 4x + 34y + 2z = 360 Solving 16 + 4x + 34y + 2z = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 4x + 34y + -16 + 2z = 360 + -16 Reorder the terms: 16 + -16 + 4x + 34y + 2z = 360 + -16 Combine like terms: 16 + -16 = 0 0 + 4x + 34y + 2z = 360 + -16 4x + 34y + 2z = 360 + -16 Combine like terms: 360 + -16 = 344 4x + 34y + 2z = 344 Add '-34y' to each side of the equation. 4x + 34y + -34y + 2z = 344 + -34y Combine like terms: 34y + -34y = 0 4x + 0 + 2z = 344 + -34y 4x + 2z = 344 + -34y Add '-2z' to each side of the equation. 4x + 2z + -2z = 344 + -34y + -2z Combine like terms: 2z + -2z = 0 4x + 0 = 344 + -34y + -2z 4x = 344 + -34y + -2z Divide each side by '4'. x = 86 + -8.5y + -0.5z Simplifying x = 86 + -8.5y + -0.5z
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