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Simplifying 7 + -8x + -2 = -43 + 4x + -12 Reorder the terms: 7 + -2 + -8x = -43 + 4x + -12 Combine like terms: 7 + -2 = 5 5 + -8x = -43 + 4x + -12 Reorder the terms: 5 + -8x = -43 + -12 + 4x Combine like terms: -43 + -12 = -55 5 + -8x = -55 + 4x Solving 5 + -8x = -55 + 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. 5 + -8x + -4x = -55 + 4x + -4x Combine like terms: -8x + -4x = -12x 5 + -12x = -55 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -12x = -55 + 0 5 + -12x = -55 Add '-5' to each side of the equation. 5 + -5 + -12x = -55 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = -55 + -5 -12x = -55 + -5 Combine like terms: -55 + -5 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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