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Simplifying 15x + 27(x + -2) = 492 Reorder the terms: 15x + 27(-2 + x) = 492 15x + (-2 * 27 + x * 27) = 492 15x + (-54 + 27x) = 492 Reorder the terms: -54 + 15x + 27x = 492 Combine like terms: 15x + 27x = 42x -54 + 42x = 492 Solving -54 + 42x = 492 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 42x = 492 + 54 Combine like terms: -54 + 54 = 0 0 + 42x = 492 + 54 42x = 492 + 54 Combine like terms: 492 + 54 = 546 42x = 546 Divide each side by '42'. x = 13 Simplifying x = 13
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