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Simplifying 2[c + -4(2x + 1)] = 6x Reorder the terms: 2[c + -4(1 + 2x)] = 6x 2[c + (1 * -4 + 2x * -4)] = 6x 2[c + (-4 + -8x)] = 6x Reorder the terms: 2[-4 + c + -8x] = 6x [-4 * 2 + c * 2 + -8x * 2] = 6x [-8 + 2c + -16x] = 6x Solving -8 + 2c + -16x = 6x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2c + 8 + -16x = 8 + 6x Reorder the terms: -8 + 8 + 2c + -16x = 8 + 6x Combine like terms: -8 + 8 = 0 0 + 2c + -16x = 8 + 6x 2c + -16x = 8 + 6x Add '16x' to each side of the equation. 2c + -16x + 16x = 8 + 6x + 16x Combine like terms: -16x + 16x = 0 2c + 0 = 8 + 6x + 16x 2c = 8 + 6x + 16x Combine like terms: 6x + 16x = 22x 2c = 8 + 22x Divide each side by '2'. c = 4 + 11x Simplifying c = 4 + 11x
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