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Simplifying 6c + -2[3 + -5(X + 2) + 2x] = 2(4x + -3) Reorder the terms: 6c + -2[3 + -5(2 + X) + 2x] = 2(4x + -3) 6c + -2[3 + (2 * -5 + X * -5) + 2x] = 2(4x + -3) 6c + -2[3 + (-10 + -5X) + 2x] = 2(4x + -3) Combine like terms: 3 + -10 = -7 6c + -2[-7 + -5X + 2x] = 2(4x + -3) 6c + [-7 * -2 + -5X * -2 + 2x * -2] = 2(4x + -3) 6c + [14 + 10X + -4x] = 2(4x + -3) Reorder the terms: 14 + 10X + 6c + -4x = 2(4x + -3) Reorder the terms: 14 + 10X + 6c + -4x = 2(-3 + 4x) 14 + 10X + 6c + -4x = (-3 * 2 + 4x * 2) 14 + 10X + 6c + -4x = (-6 + 8x) Solving 14 + 10X + 6c + -4x = -6 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 10X + 6c + -14 + -4x = -6 + -14 + 8x Reorder the terms: 14 + -14 + 10X + 6c + -4x = -6 + -14 + 8x Combine like terms: 14 + -14 = 0 0 + 10X + 6c + -4x = -6 + -14 + 8x 10X + 6c + -4x = -6 + -14 + 8x Combine like terms: -6 + -14 = -20 10X + 6c + -4x = -20 + 8x Add '-6c' to each side of the equation. 10X + 6c + -6c + -4x = -20 + -6c + 8x Combine like terms: 6c + -6c = 0 10X + 0 + -4x = -20 + -6c + 8x 10X + -4x = -20 + -6c + 8x Add '4x' to each side of the equation. 10X + -4x + 4x = -20 + -6c + 8x + 4x Combine like terms: -4x + 4x = 0 10X + 0 = -20 + -6c + 8x + 4x 10X = -20 + -6c + 8x + 4x Combine like terms: 8x + 4x = 12x 10X = -20 + -6c + 12x Divide each side by '10'. X = -2 + -0.6c + 1.2x Simplifying X = -2 + -0.6c + 1.2x
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