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Simplifying 102 = -3(1 + -7x) 102 = (1 * -3 + -7x * -3) 102 = (-3 + 21x) Solving 102 = -3 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 102 + -21x = -3 + 21x + -21x Combine like terms: 21x + -21x = 0 102 + -21x = -3 + 0 102 + -21x = -3 Add '-102' to each side of the equation. 102 + -102 + -21x = -3 + -102 Combine like terms: 102 + -102 = 0 0 + -21x = -3 + -102 -21x = -3 + -102 Combine like terms: -3 + -102 = -105 -21x = -105 Divide each side by '-21'. x = 5 Simplifying x = 5
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