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Simplifying 12x + -7 = 41 + 8x Reorder the terms: -7 + 12x = 41 + 8x Solving -7 + 12x = 41 + 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. -7 + 12x + -8x = 41 + 8x + -8x Combine like terms: 12x + -8x = 4x -7 + 4x = 41 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 4x = 41 + 0 -7 + 4x = 41 Add '7' to each side of the equation. -7 + 7 + 4x = 41 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 41 + 7 4x = 41 + 7 Combine like terms: 41 + 7 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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