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Simplifying 30 + -0.5x = 2x + -115 + 3x Reorder the terms: 30 + -0.5x = -115 + 2x + 3x Combine like terms: 2x + 3x = 5x 30 + -0.5x = -115 + 5x Solving 30 + -0.5x = -115 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + -0.5x + -5x = -115 + 5x + -5x Combine like terms: -0.5x + -5x = -5.5x 30 + -5.5x = -115 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -5.5x = -115 + 0 30 + -5.5x = -115 Add '-30' to each side of the equation. 30 + -30 + -5.5x = -115 + -30 Combine like terms: 30 + -30 = 0 0 + -5.5x = -115 + -30 -5.5x = -115 + -30 Combine like terms: -115 + -30 = -145 -5.5x = -145 Divide each side by '-5.5'. x = 26.36363636 Simplifying x = 26.36363636
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