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Simplifying 13x + -5(7 + -1x) + 2(3 + -4c) = -109 13x + (7 * -5 + -1x * -5) + 2(3 + -4c) = -109 13x + (-35 + 5x) + 2(3 + -4c) = -109 13x + -35 + 5x + (3 * 2 + -4c * 2) = -109 13x + -35 + 5x + (6 + -8c) = -109 Reorder the terms: -35 + 6 + -8c + 13x + 5x = -109 Combine like terms: -35 + 6 = -29 -29 + -8c + 13x + 5x = -109 Combine like terms: 13x + 5x = 18x -29 + -8c + 18x = -109 Solving -29 + -8c + 18x = -109 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '29' to each side of the equation. -29 + -8c + 29 + 18x = -109 + 29 Reorder the terms: -29 + 29 + -8c + 18x = -109 + 29 Combine like terms: -29 + 29 = 0 0 + -8c + 18x = -109 + 29 -8c + 18x = -109 + 29 Combine like terms: -109 + 29 = -80 -8c + 18x = -80 Add '-18x' to each side of the equation. -8c + 18x + -18x = -80 + -18x Combine like terms: 18x + -18x = 0 -8c + 0 = -80 + -18x -8c = -80 + -18x Divide each side by '-8'. c = 10 + 2.25x Simplifying c = 10 + 2.25x
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