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Simplifying 9x + 29 = 7x + 27 Reorder the terms: 29 + 9x = 7x + 27 Reorder the terms: 29 + 9x = 27 + 7x Solving 29 + 9x = 27 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 29 + 9x + -7x = 27 + 7x + -7x Combine like terms: 9x + -7x = 2x 29 + 2x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 29 + 2x = 27 + 0 29 + 2x = 27 Add '-29' to each side of the equation. 29 + -29 + 2x = 27 + -29 Combine like terms: 29 + -29 = 0 0 + 2x = 27 + -29 2x = 27 + -29 Combine like terms: 27 + -29 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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