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Simplifying 7(3x + 7) = 7(-9x + -4) Reorder the terms: 7(7 + 3x) = 7(-9x + -4) (7 * 7 + 3x * 7) = 7(-9x + -4) (49 + 21x) = 7(-9x + -4) Reorder the terms: 49 + 21x = 7(-4 + -9x) 49 + 21x = (-4 * 7 + -9x * 7) 49 + 21x = (-28 + -63x) Solving 49 + 21x = -28 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 49 + 21x + 63x = -28 + -63x + 63x Combine like terms: 21x + 63x = 84x 49 + 84x = -28 + -63x + 63x Combine like terms: -63x + 63x = 0 49 + 84x = -28 + 0 49 + 84x = -28 Add '-49' to each side of the equation. 49 + -49 + 84x = -28 + -49 Combine like terms: 49 + -49 = 0 0 + 84x = -28 + -49 84x = -28 + -49 Combine like terms: -28 + -49 = -77 84x = -77 Divide each side by '84'. x = -0.9166666667 Simplifying x = -0.9166666667
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