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Simplifying 0.50(2x + -6) = 0.50x + 1 Reorder the terms: 0.50(-6 + 2x) = 0.50x + 1 (-6 * 0.50 + 2x * 0.50) = 0.50x + 1 (-3 + 1x) = 0.50x + 1 Reorder the terms: -3 + 1x = 1 + 0.50x Solving -3 + 1x = 1 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. -3 + 1x + -0.50x = 1 + 0.50x + -0.50x Combine like terms: 1x + -0.50x = 0.5x -3 + 0.5x = 1 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 -3 + 0.5x = 1 + 0.00 -3 + 0.5x = 1 Add '3' to each side of the equation. -3 + 3 + 0.5x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 0.5x = 1 + 3 0.5x = 1 + 3 Combine like terms: 1 + 3 = 4 0.5x = 4 Divide each side by '0.5'. x = 8 Simplifying x = 8
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