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Simplifying 12x + -29 = 5x + 27 Reorder the terms: -29 + 12x = 5x + 27 Reorder the terms: -29 + 12x = 27 + 5x Solving -29 + 12x = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -29 + 12x + -5x = 27 + 5x + -5x Combine like terms: 12x + -5x = 7x -29 + 7x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 + 7x = 27 + 0 -29 + 7x = 27 Add '29' to each side of the equation. -29 + 29 + 7x = 27 + 29 Combine like terms: -29 + 29 = 0 0 + 7x = 27 + 29 7x = 27 + 29 Combine like terms: 27 + 29 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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