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Simplifying 5x + 7x + -4x + -5 = 51 Reorder the terms: -5 + 5x + 7x + -4x = 51 Combine like terms: 5x + 7x = 12x -5 + 12x + -4x = 51 Combine like terms: 12x + -4x = 8x -5 + 8x = 51 Solving -5 + 8x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = 51 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 51 + 5 8x = 51 + 5 Combine like terms: 51 + 5 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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