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Simplifying 2x + 27 = 9x + -47 Reorder the terms: 27 + 2x = 9x + -47 Reorder the terms: 27 + 2x = -47 + 9x Solving 27 + 2x = -47 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 27 + 2x + -9x = -47 + 9x + -9x Combine like terms: 2x + -9x = -7x 27 + -7x = -47 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + -7x = -47 + 0 27 + -7x = -47 Add '-27' to each side of the equation. 27 + -27 + -7x = -47 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = -47 + -27 -7x = -47 + -27 Combine like terms: -47 + -27 = -74 -7x = -74 Divide each side by '-7'. x = 10.57142857 Simplifying x = 10.57142857
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