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Simplifying 4x + -1x + 6x + -400 = 1x Reorder the terms: -400 + 4x + -1x + 6x = 1x Combine like terms: 4x + -1x = 3x -400 + 3x + 6x = 1x Combine like terms: 3x + 6x = 9x -400 + 9x = 1x Solving -400 + 9x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -400 + 9x + -1x = 1x + -1x Combine like terms: 9x + -1x = 8x -400 + 8x = 1x + -1x Combine like terms: 1x + -1x = 0 -400 + 8x = 0 Add '400' to each side of the equation. -400 + 400 + 8x = 0 + 400 Combine like terms: -400 + 400 = 0 0 + 8x = 0 + 400 8x = 0 + 400 Combine like terms: 0 + 400 = 400 8x = 400 Divide each side by '8'. x = 50 Simplifying x = 50
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