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Simplifying 5x + 6(7x + -16) = 233 Reorder the terms: 5x + 6(-16 + 7x) = 233 5x + (-16 * 6 + 7x * 6) = 233 5x + (-96 + 42x) = 233 Reorder the terms: -96 + 5x + 42x = 233 Combine like terms: 5x + 42x = 47x -96 + 47x = 233 Solving -96 + 47x = 233 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + 47x = 233 + 96 Combine like terms: -96 + 96 = 0 0 + 47x = 233 + 96 47x = 233 + 96 Combine like terms: 233 + 96 = 329 47x = 329 Divide each side by '47'. x = 7 Simplifying x = 7
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