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Simplifying x + 4 = -46 + 6x Reorder the terms: 4 + x = -46 + 6x Solving 4 + x = -46 + 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. 4 + x + -6x = -46 + 6x + -6x Combine like terms: x + -6x = -5x 4 + -5x = -46 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -5x = -46 + 0 4 + -5x = -46 Add '-4' to each side of the equation. 4 + -4 + -5x = -46 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -46 + -4 -5x = -46 + -4 Combine like terms: -46 + -4 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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