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Simplifying 5x + 7(-5 + 6x) = 106 5x + (-5 * 7 + 6x * 7) = 106 5x + (-35 + 42x) = 106 Reorder the terms: -35 + 5x + 42x = 106 Combine like terms: 5x + 42x = 47x -35 + 47x = 106 Solving -35 + 47x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 47x = 106 + 35 Combine like terms: -35 + 35 = 0 0 + 47x = 106 + 35 47x = 106 + 35 Combine like terms: 106 + 35 = 141 47x = 141 Divide each side by '47'. x = 3 Simplifying x = 3
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