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Simplifying x + 5(-3x + -2) = -122 Reorder the terms: x + 5(-2 + -3x) = -122 x + (-2 * 5 + -3x * 5) = -122 x + (-10 + -15x) = -122 Reorder the terms: -10 + x + -15x = -122 Combine like terms: x + -15x = -14x -10 + -14x = -122 Solving -10 + -14x = -122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -14x = -122 + 10 Combine like terms: -10 + 10 = 0 0 + -14x = -122 + 10 -14x = -122 + 10 Combine like terms: -122 + 10 = -112 -14x = -112 Divide each side by '-14'. x = 8 Simplifying x = 8
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