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Simplifying 7x + 7(2x + 7) = -27 + 2x Reorder the terms: 7x + 7(7 + 2x) = -27 + 2x 7x + (7 * 7 + 2x * 7) = -27 + 2x 7x + (49 + 14x) = -27 + 2x Reorder the terms: 49 + 7x + 14x = -27 + 2x Combine like terms: 7x + 14x = 21x 49 + 21x = -27 + 2x Solving 49 + 21x = -27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 49 + 21x + -2x = -27 + 2x + -2x Combine like terms: 21x + -2x = 19x 49 + 19x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + 19x = -27 + 0 49 + 19x = -27 Add '-49' to each side of the equation. 49 + -49 + 19x = -27 + -49 Combine like terms: 49 + -49 = 0 0 + 19x = -27 + -49 19x = -27 + -49 Combine like terms: -27 + -49 = -76 19x = -76 Divide each side by '19'. x = -4 Simplifying x = -4
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