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Simplifying (X + 2) + -2(4 + -3x) = 2(x + 4) + -4 Reorder the terms: (2 + X) + -2(4 + -3x) = 2(x + 4) + -4 Remove parenthesis around (2 + X) 2 + X + -2(4 + -3x) = 2(x + 4) + -4 2 + X + (4 * -2 + -3x * -2) = 2(x + 4) + -4 2 + X + (-8 + 6x) = 2(x + 4) + -4 Reorder the terms: 2 + -8 + X + 6x = 2(x + 4) + -4 Combine like terms: 2 + -8 = -6 -6 + X + 6x = 2(x + 4) + -4 Reorder the terms: -6 + X + 6x = 2(4 + x) + -4 -6 + X + 6x = (4 * 2 + x * 2) + -4 -6 + X + 6x = (8 + 2x) + -4 Reorder the terms: -6 + X + 6x = 8 + -4 + 2x Combine like terms: 8 + -4 = 4 -6 + X + 6x = 4 + 2x Solving -6 + X + 6x = 4 + 2x 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 + 6x = 4 + 6 + 2x Reorder the terms: -6 + 6 + X + 6x = 4 + 6 + 2x Combine like terms: -6 + 6 = 0 0 + X + 6x = 4 + 6 + 2x X + 6x = 4 + 6 + 2x Combine like terms: 4 + 6 = 10 X + 6x = 10 + 2x Add '-6x' to each side of the equation. X + 6x + -6x = 10 + 2x + -6x Combine like terms: 6x + -6x = 0 X + 0 = 10 + 2x + -6x X = 10 + 2x + -6x Combine like terms: 2x + -6x = -4x X = 10 + -4x Simplifying X = 10 + -4x
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