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Simplifying 8x + 0.2y + 3z + -138.83 = 3x + 10y + -1z + -23.25 Reorder the terms: -138.83 + 8x + 0.2y + 3z = 3x + 10y + -1z + -23.25 Reorder the terms: -138.83 + 8x + 0.2y + 3z = -23.25 + 3x + 10y + -1z Solving -138.83 + 8x + 0.2y + 3z = -23.25 + 3x + 10y + -1z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -138.83 + 8x + 0.2y + -3x + 3z = -23.25 + 3x + 10y + -3x + -1z Reorder the terms: -138.83 + 8x + -3x + 0.2y + 3z = -23.25 + 3x + 10y + -3x + -1z Combine like terms: 8x + -3x = 5x -138.83 + 5x + 0.2y + 3z = -23.25 + 3x + 10y + -3x + -1z Reorder the terms: -138.83 + 5x + 0.2y + 3z = -23.25 + 3x + -3x + 10y + -1z Combine like terms: 3x + -3x = 0 -138.83 + 5x + 0.2y + 3z = -23.25 + 0 + 10y + -1z -138.83 + 5x + 0.2y + 3z = -23.25 + 10y + -1z Add '138.83' to each side of the equation. -138.83 + 5x + 0.2y + 138.83 + 3z = -23.25 + 10y + 138.83 + -1z Reorder the terms: -138.83 + 138.83 + 5x + 0.2y + 3z = -23.25 + 10y + 138.83 + -1z Combine like terms: -138.83 + 138.83 = 0.00 0.00 + 5x + 0.2y + 3z = -23.25 + 10y + 138.83 + -1z 5x + 0.2y + 3z = -23.25 + 10y + 138.83 + -1z Reorder the terms: 5x + 0.2y + 3z = -23.25 + 138.83 + 10y + -1z Combine like terms: -23.25 + 138.83 = 115.58 5x + 0.2y + 3z = 115.58 + 10y + -1z Add '-0.2y' to each side of the equation. 5x + 0.2y + -0.2y + 3z = 115.58 + 10y + -0.2y + -1z Combine like terms: 0.2y + -0.2y = 0.0 5x + 0.0 + 3z = 115.58 + 10y + -0.2y + -1z 5x + 3z = 115.58 + 10y + -0.2y + -1z Combine like terms: 10y + -0.2y = 9.8y 5x + 3z = 115.58 + 9.8y + -1z Add '-3z' to each side of the equation. 5x + 3z + -3z = 115.58 + 9.8y + -1z + -3z Combine like terms: 3z + -3z = 0 5x + 0 = 115.58 + 9.8y + -1z + -3z 5x = 115.58 + 9.8y + -1z + -3z Combine like terms: -1z + -3z = -4z 5x = 115.58 + 9.8y + -4z Divide each side by '5'. x = 23.116 + 1.96y + -0.8z Simplifying x = 23.116 + 1.96y + -0.8z
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