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Simplifying 0.5x + 6 + x = 10 + -1x Reorder the terms: 6 + 0.5x + x = 10 + -1x Combine like terms: 0.5x + x = 1.5x 6 + 1.5x = 10 + -1x Solving 6 + 1.5x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 1.5x + x = 10 + -1x + x Combine like terms: 1.5x + x = 2.5x 6 + 2.5x = 10 + -1x + x Combine like terms: -1x + x = 0 6 + 2.5x = 10 + 0 6 + 2.5x = 10 Add '-6' to each side of the equation. 6 + -6 + 2.5x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2.5x = 10 + -6 2.5x = 10 + -6 Combine like terms: 10 + -6 = 4 2.5x = 4 Divide each side by '2.5'. x = 1.6 Simplifying x = 1.6
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