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Simplifying 6x + 43 = x + -2 Reorder the terms: 43 + 6x = x + -2 Reorder the terms: 43 + 6x = -2 + x Solving 43 + 6x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 43 + 6x + -1x = -2 + x + -1x Combine like terms: 6x + -1x = 5x 43 + 5x = -2 + x + -1x Combine like terms: x + -1x = 0 43 + 5x = -2 + 0 43 + 5x = -2 Add '-43' to each side of the equation. 43 + -43 + 5x = -2 + -43 Combine like terms: 43 + -43 = 0 0 + 5x = -2 + -43 5x = -2 + -43 Combine like terms: -2 + -43 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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