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Simplifying x + 27 = 43 + -6x Reorder the terms: 27 + x = 43 + -6x Solving 27 + x = 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. 27 + x + 6x = 43 + -6x + 6x Combine like terms: x + 6x = 7x 27 + 7x = 43 + -6x + 6x Combine like terms: -6x + 6x = 0 27 + 7x = 43 + 0 27 + 7x = 43 Add '-27' to each side of the equation. 27 + -27 + 7x = 43 + -27 Combine like terms: 27 + -27 = 0 0 + 7x = 43 + -27 7x = 43 + -27 Combine like terms: 43 + -27 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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