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Simplifying 0.4x + 3.2 = 7.6 + -0.7x Reorder the terms: 3.2 + 0.4x = 7.6 + -0.7x Solving 3.2 + 0.4x = 7.6 + -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. 3.2 + 0.4x + 0.7x = 7.6 + -0.7x + 0.7x Combine like terms: 0.4x + 0.7x = 1.1x 3.2 + 1.1x = 7.6 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 3.2 + 1.1x = 7.6 + 0.0 3.2 + 1.1x = 7.6 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 1.1x = 7.6 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 1.1x = 7.6 + -3.2 1.1x = 7.6 + -3.2 Combine like terms: 7.6 + -3.2 = 4.4 1.1x = 4.4 Divide each side by '1.1'. x = 4 Simplifying x = 4
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