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Simplifying 0.7x + 4.6 = 7.3 + -0.2x Reorder the terms: 4.6 + 0.7x = 7.3 + -0.2x Solving 4.6 + 0.7x = 7.3 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 4.6 + 0.7x + 0.2x = 7.3 + -0.2x + 0.2x Combine like terms: 0.7x + 0.2x = 0.9x 4.6 + 0.9x = 7.3 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 4.6 + 0.9x = 7.3 + 0.0 4.6 + 0.9x = 7.3 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.9x = 7.3 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.9x = 7.3 + -4.6 0.9x = 7.3 + -4.6 Combine like terms: 7.3 + -4.6 = 2.7 0.9x = 2.7 Divide each side by '0.9'. x = 3 Simplifying x = 3
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