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Simplifying 12x + -49 = 71 + 8x Reorder the terms: -49 + 12x = 71 + 8x Solving -49 + 12x = 71 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -49 + 12x + -8x = 71 + 8x + -8x Combine like terms: 12x + -8x = 4x -49 + 4x = 71 + 8x + -8x Combine like terms: 8x + -8x = 0 -49 + 4x = 71 + 0 -49 + 4x = 71 Add '49' to each side of the equation. -49 + 49 + 4x = 71 + 49 Combine like terms: -49 + 49 = 0 0 + 4x = 71 + 49 4x = 71 + 49 Combine like terms: 71 + 49 = 120 4x = 120 Divide each side by '4'. x = 30 Simplifying x = 30
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