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Simplifying 2x + -1(c + 4) = 4 + -1(x + 2) Reorder the terms: 2x + -1(4 + c) = 4 + -1(x + 2) 2x + (4 * -1 + c * -1) = 4 + -1(x + 2) 2x + (-4 + -1c) = 4 + -1(x + 2) Reorder the terms: -4 + -1c + 2x = 4 + -1(x + 2) Reorder the terms: -4 + -1c + 2x = 4 + -1(2 + x) -4 + -1c + 2x = 4 + (2 * -1 + x * -1) -4 + -1c + 2x = 4 + (-2 + -1x) Combine like terms: 4 + -2 = 2 -4 + -1c + 2x = 2 + -1x Solving -4 + -1c + 2x = 2 + -1x 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 + -1c + 4 + 2x = 2 + 4 + -1x Reorder the terms: -4 + 4 + -1c + 2x = 2 + 4 + -1x Combine like terms: -4 + 4 = 0 0 + -1c + 2x = 2 + 4 + -1x -1c + 2x = 2 + 4 + -1x Combine like terms: 2 + 4 = 6 -1c + 2x = 6 + -1x Add '-2x' to each side of the equation. -1c + 2x + -2x = 6 + -1x + -2x Combine like terms: 2x + -2x = 0 -1c + 0 = 6 + -1x + -2x -1c = 6 + -1x + -2x Combine like terms: -1x + -2x = -3x -1c = 6 + -3x Divide each side by '-1'. c = -6 + 3x Simplifying c = -6 + 3x
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