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Simplifying 15x + 27(x + -5) = 159 Reorder the terms: 15x + 27(-5 + x) = 159 15x + (-5 * 27 + x * 27) = 159 15x + (-135 + 27x) = 159 Reorder the terms: -135 + 15x + 27x = 159 Combine like terms: 15x + 27x = 42x -135 + 42x = 159 Solving -135 + 42x = 159 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + 42x = 159 + 135 Combine like terms: -135 + 135 = 0 0 + 42x = 159 + 135 42x = 159 + 135 Combine like terms: 159 + 135 = 294 42x = 294 Divide each side by '42'. x = 7 Simplifying x = 7
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