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Simplifying 5x + 6 = -43 + -2x Reorder the terms: 6 + 5x = -43 + -2x Solving 6 + 5x = -43 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 5x + 2x = -43 + -2x + 2x Combine like terms: 5x + 2x = 7x 6 + 7x = -43 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 7x = -43 + 0 6 + 7x = -43 Add '-6' to each side of the equation. 6 + -6 + 7x = -43 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -43 + -6 7x = -43 + -6 Combine like terms: -43 + -6 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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