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Simplifying 0.8(x + 30) + 0.8x = 88 Reorder the terms: 0.8(30 + x) + 0.8x = 88 (30 * 0.8 + x * 0.8) + 0.8x = 88 (24 + 0.8x) + 0.8x = 88 Combine like terms: 0.8x + 0.8x = 1.6x 24 + 1.6x = 88 Solving 24 + 1.6x = 88 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 + 1.6x = 88 + -24 Combine like terms: 24 + -24 = 0 0 + 1.6x = 88 + -24 1.6x = 88 + -24 Combine like terms: 88 + -24 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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