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Simplifying 4.6 = 9.1 + -0.9x Solving 4.6 = 9.1 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. 4.6 + 0.9x = 9.1 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 4.6 + 0.9x = 9.1 + 0.0 4.6 + 0.9x = 9.1 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.9x = 9.1 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.9x = 9.1 + -4.6 0.9x = 9.1 + -4.6 Combine like terms: 9.1 + -4.6 = 4.5 0.9x = 4.5 Divide each side by '0.9'. x = 5 Simplifying x = 5
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