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Simplifying 4.6 = 8.1 + -0.7x Solving 4.6 = 8.1 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 4.6 + 0.7x = 8.1 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 4.6 + 0.7x = 8.1 + 0.0 4.6 + 0.7x = 8.1 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.7x = 8.1 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.7x = 8.1 + -4.6 0.7x = 8.1 + -4.6 Combine like terms: 8.1 + -4.6 = 3.5 0.7x = 3.5 Divide each side by '0.7'. x = 5 Simplifying x = 5
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