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Simplifying 5x + 50 = 10x + 100 Reorder the terms: 50 + 5x = 10x + 100 Reorder the terms: 50 + 5x = 100 + 10x Solving 50 + 5x = 100 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 50 + 5x + -10x = 100 + 10x + -10x Combine like terms: 5x + -10x = -5x 50 + -5x = 100 + 10x + -10x Combine like terms: 10x + -10x = 0 50 + -5x = 100 + 0 50 + -5x = 100 Add '-50' to each side of the equation. 50 + -50 + -5x = 100 + -50 Combine like terms: 50 + -50 = 0 0 + -5x = 100 + -50 -5x = 100 + -50 Combine like terms: 100 + -50 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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