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Simplifying 7(3x + 8) = 7(-8x + -4) Reorder the terms: 7(8 + 3x) = 7(-8x + -4) (8 * 7 + 3x * 7) = 7(-8x + -4) (56 + 21x) = 7(-8x + -4) Reorder the terms: 56 + 21x = 7(-4 + -8x) 56 + 21x = (-4 * 7 + -8x * 7) 56 + 21x = (-28 + -56x) Solving 56 + 21x = -28 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 56 + 21x + 56x = -28 + -56x + 56x Combine like terms: 21x + 56x = 77x 56 + 77x = -28 + -56x + 56x Combine like terms: -56x + 56x = 0 56 + 77x = -28 + 0 56 + 77x = -28 Add '-56' to each side of the equation. 56 + -56 + 77x = -28 + -56 Combine like terms: 56 + -56 = 0 0 + 77x = -28 + -56 77x = -28 + -56 Combine like terms: -28 + -56 = -84 77x = -84 Divide each side by '77'. x = -1.090909091 Simplifying x = -1.090909091
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