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Simplifying 10x + 400 = 15x + 200 Reorder the terms: 400 + 10x = 15x + 200 Reorder the terms: 400 + 10x = 200 + 15x Solving 400 + 10x = 200 + 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. 400 + 10x + -15x = 200 + 15x + -15x Combine like terms: 10x + -15x = -5x 400 + -5x = 200 + 15x + -15x Combine like terms: 15x + -15x = 0 400 + -5x = 200 + 0 400 + -5x = 200 Add '-400' to each side of the equation. 400 + -400 + -5x = 200 + -400 Combine like terms: 400 + -400 = 0 0 + -5x = 200 + -400 -5x = 200 + -400 Combine like terms: 200 + -400 = -200 -5x = -200 Divide each side by '-5'. x = 40 Simplifying x = 40
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