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Simplifying 10(800) + 100x = 20(800) + 20x Multiply 10 * 800 8000 + 100x = 20(800) + 20x Multiply 20 * 800 8000 + 100x = 16000 + 20x Solving 8000 + 100x = 16000 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 8000 + 100x + -20x = 16000 + 20x + -20x Combine like terms: 100x + -20x = 80x 8000 + 80x = 16000 + 20x + -20x Combine like terms: 20x + -20x = 0 8000 + 80x = 16000 + 0 8000 + 80x = 16000 Add '-8000' to each side of the equation. 8000 + -8000 + 80x = 16000 + -8000 Combine like terms: 8000 + -8000 = 0 0 + 80x = 16000 + -8000 80x = 16000 + -8000 Combine like terms: 16000 + -8000 = 8000 80x = 8000 Divide each side by '80'. x = 100 Simplifying x = 100
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