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Simplifying -3x + 5(-3x + -2) = -100 Reorder the terms: -3x + 5(-2 + -3x) = -100 -3x + (-2 * 5 + -3x * 5) = -100 -3x + (-10 + -15x) = -100 Reorder the terms: -10 + -3x + -15x = -100 Combine like terms: -3x + -15x = -18x -10 + -18x = -100 Solving -10 + -18x = -100 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 + -18x = -100 + 10 Combine like terms: -10 + 10 = 0 0 + -18x = -100 + 10 -18x = -100 + 10 Combine like terms: -100 + 10 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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