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Simplifying 4.6 = 9.1 + -0.5x Solving 4.6 = 9.1 + -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 + 0.5x = 9.1 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 4.6 + 0.5x = 9.1 + 0.0 4.6 + 0.5x = 9.1 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.5x = 9.1 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.5x = 9.1 + -4.6 0.5x = 9.1 + -4.6 Combine like terms: 9.1 + -4.6 = 4.5 0.5x = 4.5 Divide each side by '0.5'. x = 9 Simplifying x = 9
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