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Simplifying 8 + -4x + 12 + -8y + 3z + -2 + 9x + -2y = 0 Reorder the terms: 8 + 12 + -2 + -4x + 9x + -8y + -2y + 3z = 0 Combine like terms: 8 + 12 = 20 20 + -2 + -4x + 9x + -8y + -2y + 3z = 0 Combine like terms: 20 + -2 = 18 18 + -4x + 9x + -8y + -2y + 3z = 0 Combine like terms: -4x + 9x = 5x 18 + 5x + -8y + -2y + 3z = 0 Combine like terms: -8y + -2y = -10y 18 + 5x + -10y + 3z = 0 Solving 18 + 5x + -10y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 5x + -10y + -18 + 3z = 0 + -18 Reorder the terms: 18 + -18 + 5x + -10y + 3z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5x + -10y + 3z = 0 + -18 5x + -10y + 3z = 0 + -18 Combine like terms: 0 + -18 = -18 5x + -10y + 3z = -18 Add '10y' to each side of the equation. 5x + -10y + 10y + 3z = -18 + 10y Combine like terms: -10y + 10y = 0 5x + 0 + 3z = -18 + 10y 5x + 3z = -18 + 10y Add '-3z' to each side of the equation. 5x + 3z + -3z = -18 + 10y + -3z Combine like terms: 3z + -3z = 0 5x + 0 = -18 + 10y + -3z 5x = -18 + 10y + -3z Divide each side by '5'. x = -3.6 + 2y + -0.6z Simplifying x = -3.6 + 2y + -0.6z
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