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Simplifying 0.4(x + 20) + 1.4x = 89 Reorder the terms: 0.4(20 + x) + 1.4x = 89 (20 * 0.4 + x * 0.4) + 1.4x = 89 (8 + 0.4x) + 1.4x = 89 Combine like terms: 0.4x + 1.4x = 1.8x 8 + 1.8x = 89 Solving 8 + 1.8x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1.8x = 89 + -8 Combine like terms: 8 + -8 = 0 0 + 1.8x = 89 + -8 1.8x = 89 + -8 Combine like terms: 89 + -8 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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