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Simplifying X + -2[1 + -3(2x + 4)] = 61 Reorder the terms: X + -2[1 + -3(4 + 2x)] = 61 X + -2[1 + (4 * -3 + 2x * -3)] = 61 X + -2[1 + (-12 + -6x)] = 61 Combine like terms: 1 + -12 = -11 X + -2[-11 + -6x] = 61 X + [-11 * -2 + -6x * -2] = 61 X + [22 + 12x] = 61 Reorder the terms: 22 + X + 12x = 61 Solving 22 + X + 12x = 61 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + X + -22 + 12x = 61 + -22 Reorder the terms: 22 + -22 + X + 12x = 61 + -22 Combine like terms: 22 + -22 = 0 0 + X + 12x = 61 + -22 X + 12x = 61 + -22 Combine like terms: 61 + -22 = 39 X + 12x = 39 Add '-12x' to each side of the equation. X + 12x + -12x = 39 + -12x Combine like terms: 12x + -12x = 0 X + 0 = 39 + -12x X = 39 + -12x Simplifying X = 39 + -12x
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