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Simplifying 2 + -3x + 27 = 6x + 7 Reorder the terms: 2 + 27 + -3x = 6x + 7 Combine like terms: 2 + 27 = 29 29 + -3x = 6x + 7 Reorder the terms: 29 + -3x = 7 + 6x Solving 29 + -3x = 7 + 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. 29 + -3x + -6x = 7 + 6x + -6x Combine like terms: -3x + -6x = -9x 29 + -9x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + -9x = 7 + 0 29 + -9x = 7 Add '-29' to each side of the equation. 29 + -29 + -9x = 7 + -29 Combine like terms: 29 + -29 = 0 0 + -9x = 7 + -29 -9x = 7 + -29 Combine like terms: 7 + -29 = -22 -9x = -22 Divide each side by '-9'. x = 2.444444444 Simplifying x = 2.444444444
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