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Simplifying 4[2x + -3(X + -1) + 2] = 3(x + -7) Reorder the terms: 4[2x + -3(-1 + X) + 2] = 3(x + -7) 4[2x + (-1 * -3 + X * -3) + 2] = 3(x + -7) 4[2x + (3 + -3X) + 2] = 3(x + -7) Reorder the terms: 4[3 + 2 + -3X + 2x] = 3(x + -7) Combine like terms: 3 + 2 = 5 4[5 + -3X + 2x] = 3(x + -7) [5 * 4 + -3X * 4 + 2x * 4] = 3(x + -7) [20 + -12X + 8x] = 3(x + -7) Reorder the terms: 20 + -12X + 8x = 3(-7 + x) 20 + -12X + 8x = (-7 * 3 + x * 3) 20 + -12X + 8x = (-21 + 3x) Solving 20 + -12X + 8x = -21 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -12X + -20 + 8x = -21 + -20 + 3x Reorder the terms: 20 + -20 + -12X + 8x = -21 + -20 + 3x Combine like terms: 20 + -20 = 0 0 + -12X + 8x = -21 + -20 + 3x -12X + 8x = -21 + -20 + 3x Combine like terms: -21 + -20 = -41 -12X + 8x = -41 + 3x Add '-8x' to each side of the equation. -12X + 8x + -8x = -41 + 3x + -8x Combine like terms: 8x + -8x = 0 -12X + 0 = -41 + 3x + -8x -12X = -41 + 3x + -8x Combine like terms: 3x + -8x = -5x -12X = -41 + -5x Divide each side by '-12'. X = 3.416666667 + 0.4166666667x Simplifying X = 3.416666667 + 0.4166666667x
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