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Simplifying -4(3 + -1c) + -8(x + -2) = 12 (3 * -4 + -1c * -4) + -8(x + -2) = 12 (-12 + 4c) + -8(x + -2) = 12 Reorder the terms: -12 + 4c + -8(-2 + x) = 12 -12 + 4c + (-2 * -8 + x * -8) = 12 -12 + 4c + (16 + -8x) = 12 Reorder the terms: -12 + 16 + 4c + -8x = 12 Combine like terms: -12 + 16 = 4 4 + 4c + -8x = 12 Solving 4 + 4c + -8x = 12 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4c + -4 + -8x = 12 + -4 Reorder the terms: 4 + -4 + 4c + -8x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4c + -8x = 12 + -4 4c + -8x = 12 + -4 Combine like terms: 12 + -4 = 8 4c + -8x = 8 Add '8x' to each side of the equation. 4c + -8x + 8x = 8 + 8x Combine like terms: -8x + 8x = 0 4c + 0 = 8 + 8x 4c = 8 + 8x Divide each side by '4'. c = 2 + 2x Simplifying c = 2 + 2x
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