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Simplifying 7(3x + 8) = -34 + -9x Reorder the terms: 7(8 + 3x) = -34 + -9x (8 * 7 + 3x * 7) = -34 + -9x (56 + 21x) = -34 + -9x Solving 56 + 21x = -34 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 56 + 21x + 9x = -34 + -9x + 9x Combine like terms: 21x + 9x = 30x 56 + 30x = -34 + -9x + 9x Combine like terms: -9x + 9x = 0 56 + 30x = -34 + 0 56 + 30x = -34 Add '-56' to each side of the equation. 56 + -56 + 30x = -34 + -56 Combine like terms: 56 + -56 = 0 0 + 30x = -34 + -56 30x = -34 + -56 Combine like terms: -34 + -56 = -90 30x = -90 Divide each side by '30'. x = -3 Simplifying x = -3
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