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Simplifying 10x + 100 = 15x + 20 Reorder the terms: 100 + 10x = 15x + 20 Reorder the terms: 100 + 10x = 20 + 15x Solving 100 + 10x = 20 + 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 + 10x + -15x = 20 + 15x + -15x Combine like terms: 10x + -15x = -5x 100 + -5x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 100 + -5x = 20 + 0 100 + -5x = 20 Add '-100' to each side of the equation. 100 + -100 + -5x = 20 + -100 Combine like terms: 100 + -100 = 0 0 + -5x = 20 + -100 -5x = 20 + -100 Combine like terms: 20 + -100 = -80 -5x = -80 Divide each side by '-5'. x = 16 Simplifying x = 16
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