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Simplifying 0.50x + 6 = -0.25x + 3 Reorder the terms: 6 + 0.50x = -0.25x + 3 Reorder the terms: 6 + 0.50x = 3 + -0.25x Solving 6 + 0.50x = 3 + -0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25x' to each side of the equation. 6 + 0.50x + 0.25x = 3 + -0.25x + 0.25x Combine like terms: 0.50x + 0.25x = 0.75x 6 + 0.75x = 3 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 6 + 0.75x = 3 + 0.00 6 + 0.75x = 3 Add '-6' to each side of the equation. 6 + -6 + 0.75x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 0.75x = 3 + -6 0.75x = 3 + -6 Combine like terms: 3 + -6 = -3 0.75x = -3 Divide each side by '0.75'. x = -4 Simplifying x = -4
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