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Simplifying 0.8(x + 30) + x = 105 Reorder the terms: 0.8(30 + x) + x = 105 (30 * 0.8 + x * 0.8) + x = 105 (24 + 0.8x) + x = 105 Combine like terms: 0.8x + x = 1.8x 24 + 1.8x = 105 Solving 24 + 1.8x = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1.8x = 105 + -24 Combine like terms: 24 + -24 = 0 0 + 1.8x = 105 + -24 1.8x = 105 + -24 Combine like terms: 105 + -24 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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