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Simplifying 4x + -100 + 5x = 400 + 4x Reorder the terms: -100 + 4x + 5x = 400 + 4x Combine like terms: 4x + 5x = 9x -100 + 9x = 400 + 4x Solving -100 + 9x = 400 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -100 + 9x + -4x = 400 + 4x + -4x Combine like terms: 9x + -4x = 5x -100 + 5x = 400 + 4x + -4x Combine like terms: 4x + -4x = 0 -100 + 5x = 400 + 0 -100 + 5x = 400 Add '100' to each side of the equation. -100 + 100 + 5x = 400 + 100 Combine like terms: -100 + 100 = 0 0 + 5x = 400 + 100 5x = 400 + 100 Combine like terms: 400 + 100 = 500 5x = 500 Divide each side by '5'. x = 100 Simplifying x = 100
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