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Simplifying 6x + -21 = -46 + x Reorder the terms: -21 + 6x = -46 + x Solving -21 + 6x = -46 + x 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. -21 + 6x + -1x = -46 + x + -1x Combine like terms: 6x + -1x = 5x -21 + 5x = -46 + x + -1x Combine like terms: x + -1x = 0 -21 + 5x = -46 + 0 -21 + 5x = -46 Add '21' to each side of the equation. -21 + 21 + 5x = -46 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = -46 + 21 5x = -46 + 21 Combine like terms: -46 + 21 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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