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Simplifying 7(3x + 9) = 7(-8x + -3) Reorder the terms: 7(9 + 3x) = 7(-8x + -3) (9 * 7 + 3x * 7) = 7(-8x + -3) (63 + 21x) = 7(-8x + -3) Reorder the terms: 63 + 21x = 7(-3 + -8x) 63 + 21x = (-3 * 7 + -8x * 7) 63 + 21x = (-21 + -56x) Solving 63 + 21x = -21 + -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. 63 + 21x + 56x = -21 + -56x + 56x Combine like terms: 21x + 56x = 77x 63 + 77x = -21 + -56x + 56x Combine like terms: -56x + 56x = 0 63 + 77x = -21 + 0 63 + 77x = -21 Add '-63' to each side of the equation. 63 + -63 + 77x = -21 + -63 Combine like terms: 63 + -63 = 0 0 + 77x = -21 + -63 77x = -21 + -63 Combine like terms: -21 + -63 = -84 77x = -84 Divide each side by '77'. x = -1.090909091 Simplifying x = -1.090909091
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