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Simplifying -6 + x = -4x + -46 Reorder the terms: -6 + x = -46 + -4x Solving -6 + x = -46 + -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. -6 + x + 4x = -46 + -4x + 4x Combine like terms: x + 4x = 5x -6 + 5x = -46 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 5x = -46 + 0 -6 + 5x = -46 Add '6' to each side of the equation. -6 + 6 + 5x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -46 + 6 5x = -46 + 6 Combine like terms: -46 + 6 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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