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Simplifying 2[3x + -2(X + -1)] + 1 = 9 Reorder the terms: 2[3x + -2(-1 + X)] + 1 = 9 2[3x + (-1 * -2 + X * -2)] + 1 = 9 2[3x + (2 + -2X)] + 1 = 9 Reorder the terms: 2[2 + -2X + 3x] + 1 = 9 [2 * 2 + -2X * 2 + 3x * 2] + 1 = 9 [4 + -4X + 6x] + 1 = 9 Reorder the terms: 4 + 1 + -4X + 6x = 9 Combine like terms: 4 + 1 = 5 5 + -4X + 6x = 9 Solving 5 + -4X + 6x = 9 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4X + -5 + 6x = 9 + -5 Reorder the terms: 5 + -5 + -4X + 6x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -4X + 6x = 9 + -5 -4X + 6x = 9 + -5 Combine like terms: 9 + -5 = 4 -4X + 6x = 4 Add '-6x' to each side of the equation. -4X + 6x + -6x = 4 + -6x Combine like terms: 6x + -6x = 0 -4X + 0 = 4 + -6x -4X = 4 + -6x Divide each side by '-4'. X = -1 + 1.5x Simplifying X = -1 + 1.5x
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