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Simplifying 2x + 5(6x + 9) = -147 Reorder the terms: 2x + 5(9 + 6x) = -147 2x + (9 * 5 + 6x * 5) = -147 2x + (45 + 30x) = -147 Reorder the terms: 45 + 2x + 30x = -147 Combine like terms: 2x + 30x = 32x 45 + 32x = -147 Solving 45 + 32x = -147 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 + 32x = -147 + -45 Combine like terms: 45 + -45 = 0 0 + 32x = -147 + -45 32x = -147 + -45 Combine like terms: -147 + -45 = -192 32x = -192 Divide each side by '32'. x = -6 Simplifying x = -6
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