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Simplifying 6 + 0.5x = 1.5x + 10 Reorder the terms: 6 + 0.5x = 10 + 1.5x Solving 6 + 0.5x = 10 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 6 + 0.5x + -1.5x = 10 + 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x 6 + -1x = 10 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 6 + -1x = 10 + 0.0 6 + -1x = 10 Add '-6' to each side of the equation. 6 + -6 + -1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 10 + -6 -1x = 10 + -6 Combine like terms: 10 + -6 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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