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Simplifying 3x + -4.6 = 0.5x + 26 Reorder the terms: -4.6 + 3x = 0.5x + 26 Reorder the terms: -4.6 + 3x = 26 + 0.5x Solving -4.6 + 3x = 26 + 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. -4.6 + 3x + -0.5x = 26 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x -4.6 + 2.5x = 26 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4.6 + 2.5x = 26 + 0.0 -4.6 + 2.5x = 26 Add '4.6' to each side of the equation. -4.6 + 4.6 + 2.5x = 26 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 2.5x = 26 + 4.6 2.5x = 26 + 4.6 Combine like terms: 26 + 4.6 = 30.6 2.5x = 30.6 Divide each side by '2.5'. x = 12.24 Simplifying x = 12.24
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