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