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Simplifying 8x + 0.2y + 3z + -138.83 + 105.55 + -0.5 + -3y + 0.5 + 27.15 = 180 Reorder the terms: -138.83 + 105.55 + -0.5 + 0.5 + 27.15 + 8x + 0.2y + -3y + 3z = 180 Combine like terms: -138.83 + 105.55 = -33.28 -33.28 + -0.5 + 0.5 + 27.15 + 8x + 0.2y + -3y + 3z = 180 Combine like terms: -33.28 + -0.5 = -33.78 -33.78 + 0.5 + 27.15 + 8x + 0.2y + -3y + 3z = 180 Combine like terms: -33.78 + 0.5 = -33.28 -33.28 + 27.15 + 8x + 0.2y + -3y + 3z = 180 Combine like terms: -33.28 + 27.15 = -6.13 -6.13 + 8x + 0.2y + -3y + 3z = 180 Combine like terms: 0.2y + -3y = -2.8y -6.13 + 8x + -2.8y + 3z = 180 Solving -6.13 + 8x + -2.8y + 3z = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.13' to each side of the equation. -6.13 + 8x + -2.8y + 6.13 + 3z = 180 + 6.13 Reorder the terms: -6.13 + 6.13 + 8x + -2.8y + 3z = 180 + 6.13 Combine like terms: -6.13 + 6.13 = 0.00 0.00 + 8x + -2.8y + 3z = 180 + 6.13 8x + -2.8y + 3z = 180 + 6.13 Combine like terms: 180 + 6.13 = 186.13 8x + -2.8y + 3z = 186.13 Add '2.8y' to each side of the equation. 8x + -2.8y + 2.8y + 3z = 186.13 + 2.8y Combine like terms: -2.8y + 2.8y = 0.0 8x + 0.0 + 3z = 186.13 + 2.8y 8x + 3z = 186.13 + 2.8y Add '-3z' to each side of the equation. 8x + 3z + -3z = 186.13 + 2.8y + -3z Combine like terms: 3z + -3z = 0 8x + 0 = 186.13 + 2.8y + -3z 8x = 186.13 + 2.8y + -3z Divide each side by '8'. x = 23.26625 + 0.35y + -0.375z Simplifying x = 23.26625 + 0.35y + -0.375z
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