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Simplifying 2x + 12 + 3x + -18 + 3z + 4y = 360 Reorder the terms: 12 + -18 + 2x + 3x + 4y + 3z = 360 Combine like terms: 12 + -18 = -6 -6 + 2x + 3x + 4y + 3z = 360 Combine like terms: 2x + 3x = 5x -6 + 5x + 4y + 3z = 360 Solving -6 + 5x + 4y + 3z = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5x + 4y + 6 + 3z = 360 + 6 Reorder the terms: -6 + 6 + 5x + 4y + 3z = 360 + 6 Combine like terms: -6 + 6 = 0 0 + 5x + 4y + 3z = 360 + 6 5x + 4y + 3z = 360 + 6 Combine like terms: 360 + 6 = 366 5x + 4y + 3z = 366 Add '-4y' to each side of the equation. 5x + 4y + -4y + 3z = 366 + -4y Combine like terms: 4y + -4y = 0 5x + 0 + 3z = 366 + -4y 5x + 3z = 366 + -4y Add '-3z' to each side of the equation. 5x + 3z + -3z = 366 + -4y + -3z Combine like terms: 3z + -3z = 0 5x + 0 = 366 + -4y + -3z 5x = 366 + -4y + -3z Divide each side by '5'. x = 73.2 + -0.8y + -0.6z Simplifying x = 73.2 + -0.8y + -0.6z
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