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Simplifying 5x + 12 = -43 + -6x Reorder the terms: 12 + 5x = -43 + -6x Solving 12 + 5x = -43 + -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. 12 + 5x + 6x = -43 + -6x + 6x Combine like terms: 5x + 6x = 11x 12 + 11x = -43 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 11x = -43 + 0 12 + 11x = -43 Add '-12' to each side of the equation. 12 + -12 + 11x = -43 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = -43 + -12 11x = -43 + -12 Combine like terms: -43 + -12 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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