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Simplifying 4x + 2x + -14 + 2x + 36 + 4x + 10 + 106.2 = 360 Reorder the terms: -14 + 36 + 10 + 106.2 + 4x + 2x + 2x + 4x = 360 Combine like terms: -14 + 36 = 22 22 + 10 + 106.2 + 4x + 2x + 2x + 4x = 360 Combine like terms: 22 + 10 = 32 32 + 106.2 + 4x + 2x + 2x + 4x = 360 Combine like terms: 32 + 106.2 = 138.2 138.2 + 4x + 2x + 2x + 4x = 360 Combine like terms: 4x + 2x = 6x 138.2 + 6x + 2x + 4x = 360 Combine like terms: 6x + 2x = 8x 138.2 + 8x + 4x = 360 Combine like terms: 8x + 4x = 12x 138.2 + 12x = 360 Solving 138.2 + 12x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-138.2' to each side of the equation. 138.2 + -138.2 + 12x = 360 + -138.2 Combine like terms: 138.2 + -138.2 = 0.0 0.0 + 12x = 360 + -138.2 12x = 360 + -138.2 Combine like terms: 360 + -138.2 = 221.8 12x = 221.8 Divide each side by '12'. x = 18.48333333 Simplifying x = 18.48333333
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