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Simplifying 3.0x + 5.0 + -0.5x = x Reorder the terms: 5.0 + 3.0x + -0.5x = x Combine like terms: 3.0x + -0.5x = 2.5x 5.0 + 2.5x = x Solving 5.0 + 2.5x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5.0 + 2.5x + -1x = x + -1x Combine like terms: 2.5x + -1x = 1.5x 5.0 + 1.5x = x + -1x Combine like terms: x + -1x = 0 5.0 + 1.5x = 0 Add '-5.0' to each side of the equation. 5.0 + -5.0 + 1.5x = 0 + -5.0 Combine like terms: 5.0 + -5.0 = 0.0 0.0 + 1.5x = 0 + -5.0 1.5x = 0 + -5.0 Combine like terms: 0 + -5.0 = -5 1.5x = -5 Divide each side by '1.5'. x = -3.333333333 Simplifying x = -3.333333333
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