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Simplifying 10(-3 + -2x) + 3(6x + -13) = -9 (-3 * 10 + -2x * 10) + 3(6x + -13) = -9 (-30 + -20x) + 3(6x + -13) = -9 Reorder the terms: -30 + -20x + 3(-13 + 6x) = -9 -30 + -20x + (-13 * 3 + 6x * 3) = -9 -30 + -20x + (-39 + 18x) = -9 Reorder the terms: -30 + -39 + -20x + 18x = -9 Combine like terms: -30 + -39 = -69 -69 + -20x + 18x = -9 Combine like terms: -20x + 18x = -2x -69 + -2x = -9 Solving -69 + -2x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + -2x = -9 + 69 Combine like terms: -69 + 69 = 0 0 + -2x = -9 + 69 -2x = -9 + 69 Combine like terms: -9 + 69 = 60 -2x = 60 Divide each side by '-2'. x = -30 Simplifying x = -30
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