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Simplifying 10x + 2x + 3x + -27 = 78 Reorder the terms: -27 + 10x + 2x + 3x = 78 Combine like terms: 10x + 2x = 12x -27 + 12x + 3x = 78 Combine like terms: 12x + 3x = 15x -27 + 15x = 78 Solving -27 + 15x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 15x = 78 + 27 Combine like terms: -27 + 27 = 0 0 + 15x = 78 + 27 15x = 78 + 27 Combine like terms: 78 + 27 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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