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Simplifying -7 = 3(x + -5) + -1c Reorder the terms: -7 = 3(-5 + x) + -1c -7 = (-5 * 3 + x * 3) + -1c -7 = (-15 + 3x) + -1c Reorder the terms: -7 = -15 + -1c + 3x Solving -7 = -15 + -1c + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -7 + c = -15 + -1c + c + 3x Combine like terms: -1c + c = 0 -7 + c = -15 + 0 + 3x -7 + c = -15 + 3x Add '7' to each side of the equation. -7 + 7 + c = -15 + 7 + 3x Combine like terms: -7 + 7 = 0 0 + c = -15 + 7 + 3x c = -15 + 7 + 3x Combine like terms: -15 + 7 = -8 c = -8 + 3x Simplifying c = -8 + 3x
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