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Simplifying -6 + x = 5x + -46 Reorder the terms: -6 + x = -46 + 5x Solving -6 + x = -46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + x + -5x = -46 + 5x + -5x Combine like terms: x + -5x = -4x -6 + -4x = -46 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -4x = -46 + 0 -6 + -4x = -46 Add '6' to each side of the equation. -6 + 6 + -4x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -46 + 6 -4x = -46 + 6 Combine like terms: -46 + 6 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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