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Simplifying 5x + 100 = 15x + 50 Reorder the terms: 100 + 5x = 15x + 50 Reorder the terms: 100 + 5x = 50 + 15x Solving 100 + 5x = 50 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 100 + 5x + -15x = 50 + 15x + -15x Combine like terms: 5x + -15x = -10x 100 + -10x = 50 + 15x + -15x Combine like terms: 15x + -15x = 0 100 + -10x = 50 + 0 100 + -10x = 50 Add '-100' to each side of the equation. 100 + -100 + -10x = 50 + -100 Combine like terms: 100 + -100 = 0 0 + -10x = 50 + -100 -10x = 50 + -100 Combine like terms: 50 + -100 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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