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Simplifying 6x + -1(c + 7) = 13 + -5 Reorder the terms: 6x + -1(7 + c) = 13 + -5 6x + (7 * -1 + c * -1) = 13 + -5 6x + (-7 + -1c) = 13 + -5 Reorder the terms: -7 + -1c + 6x = 13 + -5 Combine like terms: 13 + -5 = 8 -7 + -1c + 6x = 8 Solving -7 + -1c + 6x = 8 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -1c + 7 + 6x = 8 + 7 Reorder the terms: -7 + 7 + -1c + 6x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -1c + 6x = 8 + 7 -1c + 6x = 8 + 7 Combine like terms: 8 + 7 = 15 -1c + 6x = 15 Add '-6x' to each side of the equation. -1c + 6x + -6x = 15 + -6x Combine like terms: 6x + -6x = 0 -1c + 0 = 15 + -6x -1c = 15 + -6x Divide each side by '-1'. c = -15 + 6x Simplifying c = -15 + 6x
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