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Simplifying 0.4(8 + x) = 3.2 + 0.7 (8 * 0.4 + x * 0.4) = 3.2 + 0.7 (3.2 + 0.4x) = 3.2 + 0.7 Combine like terms: 3.2 + 0.7 = 3.9 3.2 + 0.4x = 3.9 Solving 3.2 + 0.4x = 3.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + 0.4x = 3.9 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.4x = 3.9 + -3.2 0.4x = 3.9 + -3.2 Combine like terms: 3.9 + -3.2 = 0.7 0.4x = 0.7 Divide each side by '0.4'. x = 1.75 Simplifying x = 1.75
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