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Simplifying 7(7x + 1) + -4c = 13(3c + -2) Reorder the terms: 7(1 + 7x) + -4c = 13(3c + -2) (1 * 7 + 7x * 7) + -4c = 13(3c + -2) (7 + 49x) + -4c = 13(3c + -2) Reorder the terms: 7 + -4c + 49x = 13(3c + -2) Reorder the terms: 7 + -4c + 49x = 13(-2 + 3c) 7 + -4c + 49x = (-2 * 13 + 3c * 13) 7 + -4c + 49x = (-26 + 39c) Solving 7 + -4c + 49x = -26 + 39c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-39c' to each side of the equation. 7 + -4c + -39c + 49x = -26 + 39c + -39c Combine like terms: -4c + -39c = -43c 7 + -43c + 49x = -26 + 39c + -39c Combine like terms: 39c + -39c = 0 7 + -43c + 49x = -26 + 0 7 + -43c + 49x = -26 Add '-7' to each side of the equation. 7 + -43c + -7 + 49x = -26 + -7 Reorder the terms: 7 + -7 + -43c + 49x = -26 + -7 Combine like terms: 7 + -7 = 0 0 + -43c + 49x = -26 + -7 -43c + 49x = -26 + -7 Combine like terms: -26 + -7 = -33 -43c + 49x = -33 Add '-49x' to each side of the equation. -43c + 49x + -49x = -33 + -49x Combine like terms: 49x + -49x = 0 -43c + 0 = -33 + -49x -43c = -33 + -49x Divide each side by '-43'. c = 0.7674418605 + 1.139534884x Simplifying c = 0.7674418605 + 1.139534884x
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