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Simplifying 0.4(x + 80) + 1.4x = 113 Reorder the terms: 0.4(80 + x) + 1.4x = 113 (80 * 0.4 + x * 0.4) + 1.4x = 113 (32 + 0.4x) + 1.4x = 113 Combine like terms: 0.4x + 1.4x = 1.8x 32 + 1.8x = 113 Solving 32 + 1.8x = 113 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1.8x = 113 + -32 Combine like terms: 32 + -32 = 0 0 + 1.8x = 113 + -32 1.8x = 113 + -32 Combine like terms: 113 + -32 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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