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Simplifying 0.50x + 6 = 1x + 2 Reorder the terms: 6 + 0.50x = 1x + 2 Reorder the terms: 6 + 0.50x = 2 + 1x Solving 6 + 0.50x = 2 + 1x 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. 6 + 0.50x + -1x = 2 + 1x + -1x Combine like terms: 0.50x + -1x = -0.5x 6 + -0.5x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -0.5x = 2 + 0 6 + -0.5x = 2 Add '-6' to each side of the equation. 6 + -6 + -0.5x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -0.5x = 2 + -6 -0.5x = 2 + -6 Combine like terms: 2 + -6 = -4 -0.5x = -4 Divide each side by '-0.5'. x = 8 Simplifying x = 8
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