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Simplifying 0.4(x + 40) + 1.4x = 97 Reorder the terms: 0.4(40 + x) + 1.4x = 97 (40 * 0.4 + x * 0.4) + 1.4x = 97 (16 + 0.4x) + 1.4x = 97 Combine like terms: 0.4x + 1.4x = 1.8x 16 + 1.8x = 97 Solving 16 + 1.8x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1.8x = 97 + -16 Combine like terms: 16 + -16 = 0 0 + 1.8x = 97 + -16 1.8x = 97 + -16 Combine like terms: 97 + -16 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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