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Simplifying 4x + 6 = 0.5x + 30.5 Reorder the terms: 6 + 4x = 0.5x + 30.5 Reorder the terms: 6 + 4x = 30.5 + 0.5x Solving 6 + 4x = 30.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6 + 4x + -0.5x = 30.5 + 0.5x + -0.5x Combine like terms: 4x + -0.5x = 3.5x 6 + 3.5x = 30.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + 3.5x = 30.5 + 0.0 6 + 3.5x = 30.5 Add '-6' to each side of the equation. 6 + -6 + 3.5x = 30.5 + -6 Combine like terms: 6 + -6 = 0 0 + 3.5x = 30.5 + -6 3.5x = 30.5 + -6 Combine like terms: 30.5 + -6 = 24.5 3.5x = 24.5 Divide each side by '3.5'. x = 7 Simplifying x = 7
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