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Simplifying (X + 3) + -2(2 + -4x) = 6(x + 3) + -4 Reorder the terms: (3 + X) + -2(2 + -4x) = 6(x + 3) + -4 Remove parenthesis around (3 + X) 3 + X + -2(2 + -4x) = 6(x + 3) + -4 3 + X + (2 * -2 + -4x * -2) = 6(x + 3) + -4 3 + X + (-4 + 8x) = 6(x + 3) + -4 Reorder the terms: 3 + -4 + X + 8x = 6(x + 3) + -4 Combine like terms: 3 + -4 = -1 -1 + X + 8x = 6(x + 3) + -4 Reorder the terms: -1 + X + 8x = 6(3 + x) + -4 -1 + X + 8x = (3 * 6 + x * 6) + -4 -1 + X + 8x = (18 + 6x) + -4 Reorder the terms: -1 + X + 8x = 18 + -4 + 6x Combine like terms: 18 + -4 = 14 -1 + X + 8x = 14 + 6x Solving -1 + X + 8x = 14 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + X + 1 + 8x = 14 + 1 + 6x Reorder the terms: -1 + 1 + X + 8x = 14 + 1 + 6x Combine like terms: -1 + 1 = 0 0 + X + 8x = 14 + 1 + 6x X + 8x = 14 + 1 + 6x Combine like terms: 14 + 1 = 15 X + 8x = 15 + 6x Add '-8x' to each side of the equation. X + 8x + -8x = 15 + 6x + -8x Combine like terms: 8x + -8x = 0 X + 0 = 15 + 6x + -8x X = 15 + 6x + -8x Combine like terms: 6x + -8x = -2x X = 15 + -2x Simplifying X = 15 + -2x
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