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Simplifying 4x + 8y + -1z + 3y + 8 + 6y + 1 = 180 Reorder the terms: 8 + 1 + 4x + 8y + 3y + 6y + -1z = 180 Combine like terms: 8 + 1 = 9 9 + 4x + 8y + 3y + 6y + -1z = 180 Combine like terms: 8y + 3y = 11y 9 + 4x + 11y + 6y + -1z = 180 Combine like terms: 11y + 6y = 17y 9 + 4x + 17y + -1z = 180 Solving 9 + 4x + 17y + -1z = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4x + 17y + -9 + -1z = 180 + -9 Reorder the terms: 9 + -9 + 4x + 17y + -1z = 180 + -9 Combine like terms: 9 + -9 = 0 0 + 4x + 17y + -1z = 180 + -9 4x + 17y + -1z = 180 + -9 Combine like terms: 180 + -9 = 171 4x + 17y + -1z = 171 Add '-17y' to each side of the equation. 4x + 17y + -17y + -1z = 171 + -17y Combine like terms: 17y + -17y = 0 4x + 0 + -1z = 171 + -17y 4x + -1z = 171 + -17y Add 'z' to each side of the equation. 4x + -1z + z = 171 + -17y + z Combine like terms: -1z + z = 0 4x + 0 = 171 + -17y + z 4x = 171 + -17y + z Divide each side by '4'. x = 42.75 + -4.25y + 0.25z Simplifying x = 42.75 + -4.25y + 0.25z
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