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Simplifying 10x + 40 = 5x + 100 Reorder the terms: 40 + 10x = 5x + 100 Reorder the terms: 40 + 10x = 100 + 5x Solving 40 + 10x = 100 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40 + 10x + -5x = 100 + 5x + -5x Combine like terms: 10x + -5x = 5x 40 + 5x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 5x = 100 + 0 40 + 5x = 100 Add '-40' to each side of the equation. 40 + -40 + 5x = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 100 + -40 5x = 100 + -40 Combine like terms: 100 + -40 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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