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Simplifying -120 = -7c + -4(x + 8) Reorder the terms: -120 = -7c + -4(8 + x) -120 = -7c + (8 * -4 + x * -4) -120 = -7c + (-32 + -4x) Reorder the terms: -120 = -32 + -7c + -4x Solving -120 = -32 + -7c + -4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. -120 + 7c = -32 + -7c + 7c + -4x Combine like terms: -7c + 7c = 0 -120 + 7c = -32 + 0 + -4x -120 + 7c = -32 + -4x Add '120' to each side of the equation. -120 + 120 + 7c = -32 + 120 + -4x Combine like terms: -120 + 120 = 0 0 + 7c = -32 + 120 + -4x 7c = -32 + 120 + -4x Combine like terms: -32 + 120 = 88 7c = 88 + -4x Divide each side by '7'. c = 12.57142857 + -0.5714285714x Simplifying c = 12.57142857 + -0.5714285714x
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