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Simplifying 306.88 = 8(0.08x + 26.90 + 0.20(26.90)) Multiply 0.20 * 26.90 306.88 = 8(0.08x + 26.90 + 5.38) Reorder the terms: 306.88 = 8(26.90 + 5.38 + 0.08x) Combine like terms: 26.90 + 5.38 = 32.28 306.88 = 8(32.28 + 0.08x) 306.88 = (32.28 * 8 + 0.08x * 8) 306.88 = (258.24 + 0.64x) Solving 306.88 = 258.24 + 0.64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.64x' to each side of the equation. 306.88 + -0.64x = 258.24 + 0.64x + -0.64x Combine like terms: 0.64x + -0.64x = 0.00 306.88 + -0.64x = 258.24 + 0.00 306.88 + -0.64x = 258.24 Add '-306.88' to each side of the equation. 306.88 + -306.88 + -0.64x = 258.24 + -306.88 Combine like terms: 306.88 + -306.88 = 0.00 0.00 + -0.64x = 258.24 + -306.88 -0.64x = 258.24 + -306.88 Combine like terms: 258.24 + -306.88 = -48.64 -0.64x = -48.64 Divide each side by '-0.64'. x = 76 Simplifying x = 76
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