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Simplifying 3(x + 100) = 8x Reorder the terms: 3(100 + x) = 8x (100 * 3 + x * 3) = 8x (300 + 3x) = 8x Solving 300 + 3x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 300 + 3x + -8x = 8x + -8x Combine like terms: 3x + -8x = -5x 300 + -5x = 8x + -8x Combine like terms: 8x + -8x = 0 300 + -5x = 0 Add '-300' to each side of the equation. 300 + -300 + -5x = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -5x = 0 + -300 -5x = 0 + -300 Combine like terms: 0 + -300 = -300 -5x = -300 Divide each side by '-5'. x = 60 Simplifying x = 60
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