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Simplifying 8x + -2(X + -2) = 3(4x + -1) + x Reorder the terms: 8x + -2(-2 + X) = 3(4x + -1) + x 8x + (-2 * -2 + X * -2) = 3(4x + -1) + x 8x + (4 + -2X) = 3(4x + -1) + x Reorder the terms: 4 + -2X + 8x = 3(4x + -1) + x Reorder the terms: 4 + -2X + 8x = 3(-1 + 4x) + x 4 + -2X + 8x = (-1 * 3 + 4x * 3) + x 4 + -2X + 8x = (-3 + 12x) + x Combine like terms: 12x + x = 13x 4 + -2X + 8x = -3 + 13x Solving 4 + -2X + 8x = -3 + 13x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2X + -4 + 8x = -3 + -4 + 13x Reorder the terms: 4 + -4 + -2X + 8x = -3 + -4 + 13x Combine like terms: 4 + -4 = 0 0 + -2X + 8x = -3 + -4 + 13x -2X + 8x = -3 + -4 + 13x Combine like terms: -3 + -4 = -7 -2X + 8x = -7 + 13x Add '-8x' to each side of the equation. -2X + 8x + -8x = -7 + 13x + -8x Combine like terms: 8x + -8x = 0 -2X + 0 = -7 + 13x + -8x -2X = -7 + 13x + -8x Combine like terms: 13x + -8x = 5x -2X = -7 + 5x Divide each side by '-2'. X = 3.5 + -2.5x Simplifying X = 3.5 + -2.5x
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