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Simplifying 3x + -5(-6x + -9) = -153 Reorder the terms: 3x + -5(-9 + -6x) = -153 3x + (-9 * -5 + -6x * -5) = -153 3x + (45 + 30x) = -153 Reorder the terms: 45 + 3x + 30x = -153 Combine like terms: 3x + 30x = 33x 45 + 33x = -153 Solving 45 + 33x = -153 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 33x = -153 + -45 Combine like terms: 45 + -45 = 0 0 + 33x = -153 + -45 33x = -153 + -45 Combine like terms: -153 + -45 = -198 33x = -198 Divide each side by '33'. x = -6 Simplifying x = -6
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