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Simplifying 3x + 0.5 + -1x = 2 + x + 6 Reorder the terms: 0.5 + 3x + -1x = 2 + x + 6 Combine like terms: 3x + -1x = 2x 0.5 + 2x = 2 + x + 6 Reorder the terms: 0.5 + 2x = 2 + 6 + x Combine like terms: 2 + 6 = 8 0.5 + 2x = 8 + x Solving 0.5 + 2x = 8 + 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. 0.5 + 2x + -1x = 8 + x + -1x Combine like terms: 2x + -1x = 1x 0.5 + 1x = 8 + x + -1x Combine like terms: x + -1x = 0 0.5 + 1x = 8 + 0 0.5 + 1x = 8 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1x = 8 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1x = 8 + -0.5 1x = 8 + -0.5 Combine like terms: 8 + -0.5 = 7.5 1x = 7.5 Divide each side by '1'. x = 7.5 Simplifying x = 7.5
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