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Simplifying -4(-1x + 3) + 4x + c = 6 Reorder the terms: -4(3 + -1x) + 4x + c = 6 (3 * -4 + -1x * -4) + 4x + c = 6 (-12 + 4x) + 4x + c = 6 Reorder the terms: -12 + c + 4x + 4x = 6 Combine like terms: 4x + 4x = 8x -12 + c + 8x = 6 Solving -12 + c + 8x = 6 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + c + 12 + 8x = 6 + 12 Reorder the terms: -12 + 12 + c + 8x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + c + 8x = 6 + 12 c + 8x = 6 + 12 Combine like terms: 6 + 12 = 18 c + 8x = 18 Add '-8x' to each side of the equation. c + 8x + -8x = 18 + -8x Combine like terms: 8x + -8x = 0 c + 0 = 18 + -8x c = 18 + -8x Simplifying c = 18 + -8x
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