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Simplifying -6(c + -2) + 4(3 + -6x) = -36 Reorder the terms: -6(-2 + c) + 4(3 + -6x) = -36 (-2 * -6 + c * -6) + 4(3 + -6x) = -36 (12 + -6c) + 4(3 + -6x) = -36 12 + -6c + (3 * 4 + -6x * 4) = -36 12 + -6c + (12 + -24x) = -36 Reorder the terms: 12 + 12 + -6c + -24x = -36 Combine like terms: 12 + 12 = 24 24 + -6c + -24x = -36 Solving 24 + -6c + -24x = -36 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -6c + -24 + -24x = -36 + -24 Reorder the terms: 24 + -24 + -6c + -24x = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -6c + -24x = -36 + -24 -6c + -24x = -36 + -24 Combine like terms: -36 + -24 = -60 -6c + -24x = -60 Add '24x' to each side of the equation. -6c + -24x + 24x = -60 + 24x Combine like terms: -24x + 24x = 0 -6c + 0 = -60 + 24x -6c = -60 + 24x Divide each side by '-6'. c = 10 + -4x Simplifying c = 10 + -4x
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