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Simplifying 310.17 = 7(0.8x + 29.90 + 0.30(29.90)) Multiply 0.30 * 29.90 310.17 = 7(0.8x + 29.90 + 8.97) Reorder the terms: 310.17 = 7(29.90 + 8.97 + 0.8x) Combine like terms: 29.90 + 8.97 = 38.87 310.17 = 7(38.87 + 0.8x) 310.17 = (38.87 * 7 + 0.8x * 7) 310.17 = (272.09 + 5.6x) Solving 310.17 = 272.09 + 5.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.6x' to each side of the equation. 310.17 + -5.6x = 272.09 + 5.6x + -5.6x Combine like terms: 5.6x + -5.6x = 0.0 310.17 + -5.6x = 272.09 + 0.0 310.17 + -5.6x = 272.09 Add '-310.17' to each side of the equation. 310.17 + -310.17 + -5.6x = 272.09 + -310.17 Combine like terms: 310.17 + -310.17 = 0.00 0.00 + -5.6x = 272.09 + -310.17 -5.6x = 272.09 + -310.17 Combine like terms: 272.09 + -310.17 = -38.08 -5.6x = -38.08 Divide each side by '-5.6'. x = 6.8 Simplifying x = 6.8
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