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Simplifying 6 + -8x + -2 = -46 + 4x + -10 Reorder the terms: 6 + -2 + -8x = -46 + 4x + -10 Combine like terms: 6 + -2 = 4 4 + -8x = -46 + 4x + -10 Reorder the terms: 4 + -8x = -46 + -10 + 4x Combine like terms: -46 + -10 = -56 4 + -8x = -56 + 4x Solving 4 + -8x = -56 + 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. 4 + -8x + -4x = -56 + 4x + -4x Combine like terms: -8x + -4x = -12x 4 + -12x = -56 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -12x = -56 + 0 4 + -12x = -56 Add '-4' to each side of the equation. 4 + -4 + -12x = -56 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -56 + -4 -12x = -56 + -4 Combine like terms: -56 + -4 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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