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Simplifying 12x + -5 = 8x + -8 + 51 Reorder the terms: -5 + 12x = 8x + -8 + 51 Reorder the terms: -5 + 12x = -8 + 51 + 8x Combine like terms: -8 + 51 = 43 -5 + 12x = 43 + 8x Solving -5 + 12x = 43 + 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. -5 + 12x + -8x = 43 + 8x + -8x Combine like terms: 12x + -8x = 4x -5 + 4x = 43 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 4x = 43 + 0 -5 + 4x = 43 Add '5' to each side of the equation. -5 + 5 + 4x = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 43 + 5 4x = 43 + 5 Combine like terms: 43 + 5 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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