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Simplifying 0.8x + 5 = 0.2(40 + x) Reorder the terms: 5 + 0.8x = 0.2(40 + x) 5 + 0.8x = (40 * 0.2 + x * 0.2) 5 + 0.8x = (8 + 0.2x) Solving 5 + 0.8x = 8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 5 + 0.8x + -0.2x = 8 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x 5 + 0.6x = 8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 5 + 0.6x = 8 + 0.0 5 + 0.6x = 8 Add '-5' to each side of the equation. 5 + -5 + 0.6x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 0.6x = 8 + -5 0.6x = 8 + -5 Combine like terms: 8 + -5 = 3 0.6x = 3 Divide each side by '0.6'. x = 5 Simplifying x = 5
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