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Simplifying X + (2(3x + -2 + -1(4x + -5))) = 6 + -4(2x + 3) Reorder the terms: X + (2(3x + -2 + -1(-5 + 4x))) = 6 + -4(2x + 3) X + (2(3x + -2 + (-5 * -1 + 4x * -1))) = 6 + -4(2x + 3) X + (2(3x + -2 + (5 + -4x))) = 6 + -4(2x + 3) Reorder the terms: X + (2(-2 + 5 + 3x + -4x)) = 6 + -4(2x + 3) Combine like terms: -2 + 5 = 3 X + (2(3 + 3x + -4x)) = 6 + -4(2x + 3) Combine like terms: 3x + -4x = -1x X + (2(3 + -1x)) = 6 + -4(2x + 3) X + ((3 * 2 + -1x * 2)) = 6 + -4(2x + 3) X + ((6 + -2x)) = 6 + -4(2x + 3) X + (6 + -2x) = 6 + -4(2x + 3) Remove parenthesis around (6 + -2x) X + 6 + -2x = 6 + -4(2x + 3) Reorder the terms: 6 + X + -2x = 6 + -4(2x + 3) Reorder the terms: 6 + X + -2x = 6 + -4(3 + 2x) 6 + X + -2x = 6 + (3 * -4 + 2x * -4) 6 + X + -2x = 6 + (-12 + -8x) Combine like terms: 6 + -12 = -6 6 + X + -2x = -6 + -8x Solving 6 + X + -2x = -6 + -8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + X + -6 + -2x = -6 + -6 + -8x Reorder the terms: 6 + -6 + X + -2x = -6 + -6 + -8x Combine like terms: 6 + -6 = 0 0 + X + -2x = -6 + -6 + -8x X + -2x = -6 + -6 + -8x Combine like terms: -6 + -6 = -12 X + -2x = -12 + -8x Add '2x' to each side of the equation. X + -2x + 2x = -12 + -8x + 2x Combine like terms: -2x + 2x = 0 X + 0 = -12 + -8x + 2x X = -12 + -8x + 2x Combine like terms: -8x + 2x = -6x X = -12 + -6x Simplifying X = -12 + -6x
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