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Simplifying 100 * 6.8 = 30x + 20 * 5.25 + 50 * 6.4 Multiply 100 * 6.8 680 = 30x + 20 * 5.25 + 50 * 6.4 Multiply 20 * 5.25 680 = 30x + 105 + 50 * 6.4 Multiply 50 * 6.4 680 = 30x + 105 + 320 Reorder the terms: 680 = 105 + 320 + 30x Combine like terms: 105 + 320 = 425 680 = 425 + 30x Solving 680 = 425 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 680 + -30x = 425 + 30x + -30x Combine like terms: 30x + -30x = 0 680 + -30x = 425 + 0 680 + -30x = 425 Add '-680' to each side of the equation. 680 + -680 + -30x = 425 + -680 Combine like terms: 680 + -680 = 0 0 + -30x = 425 + -680 -30x = 425 + -680 Combine like terms: 425 + -680 = -255 -30x = -255 Divide each side by '-30'. x = 8.5 Simplifying x = 8.5
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