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Simplifying 7(3x + 9) = -1(x + 3) Reorder the terms: 7(9 + 3x) = -1(x + 3) (9 * 7 + 3x * 7) = -1(x + 3) (63 + 21x) = -1(x + 3) Reorder the terms: 63 + 21x = -1(3 + x) 63 + 21x = (3 * -1 + x * -1) 63 + 21x = (-3 + -1x) Solving 63 + 21x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 63 + 21x + x = -3 + -1x + x Combine like terms: 21x + x = 22x 63 + 22x = -3 + -1x + x Combine like terms: -1x + x = 0 63 + 22x = -3 + 0 63 + 22x = -3 Add '-63' to each side of the equation. 63 + -63 + 22x = -3 + -63 Combine like terms: 63 + -63 = 0 0 + 22x = -3 + -63 22x = -3 + -63 Combine like terms: -3 + -63 = -66 22x = -66 Divide each side by '22'. x = -3 Simplifying x = -3
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