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Simplifying 4x + -100 + 5x = 400 + 6x Reorder the terms: -100 + 4x + 5x = 400 + 6x Combine like terms: 4x + 5x = 9x -100 + 9x = 400 + 6x Solving -100 + 9x = 400 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -100 + 9x + -6x = 400 + 6x + -6x Combine like terms: 9x + -6x = 3x -100 + 3x = 400 + 6x + -6x Combine like terms: 6x + -6x = 0 -100 + 3x = 400 + 0 -100 + 3x = 400 Add '100' to each side of the equation. -100 + 100 + 3x = 400 + 100 Combine like terms: -100 + 100 = 0 0 + 3x = 400 + 100 3x = 400 + 100 Combine like terms: 400 + 100 = 500 3x = 500 Divide each side by '3'. x = 166.6666667 Simplifying x = 166.6666667
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