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Simplifying 8x + 7 + 12x = -5x + -43 Reorder the terms: 7 + 8x + 12x = -5x + -43 Combine like terms: 8x + 12x = 20x 7 + 20x = -5x + -43 Reorder the terms: 7 + 20x = -43 + -5x Solving 7 + 20x = -43 + -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. 7 + 20x + 5x = -43 + -5x + 5x Combine like terms: 20x + 5x = 25x 7 + 25x = -43 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 25x = -43 + 0 7 + 25x = -43 Add '-7' to each side of the equation. 7 + -7 + 25x = -43 + -7 Combine like terms: 7 + -7 = 0 0 + 25x = -43 + -7 25x = -43 + -7 Combine like terms: -43 + -7 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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