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Simplifying 0.5x + -0.25x + 6 = 0.3x Reorder the terms: 6 + 0.5x + -0.25x = 0.3x Combine like terms: 0.5x + -0.25x = 0.25x 6 + 0.25x = 0.3x Solving 6 + 0.25x = 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 6 + 0.25x + -0.3x = 0.3x + -0.3x Combine like terms: 0.25x + -0.3x = -0.05x 6 + -0.05x = 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 6 + -0.05x = 0.0 Add '-6' to each side of the equation. 6 + -6 + -0.05x = 0.0 + -6 Combine like terms: 6 + -6 = 0 0 + -0.05x = 0.0 + -6 -0.05x = 0.0 + -6 Combine like terms: 0.0 + -6 = -6 -0.05x = -6 Divide each side by '-0.05'. x = 120 Simplifying x = 120
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