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Simplifying (X + 5) + -2(3 + -4x) = 3(x + 5) + -4 Reorder the terms: (5 + X) + -2(3 + -4x) = 3(x + 5) + -4 Remove parenthesis around (5 + X) 5 + X + -2(3 + -4x) = 3(x + 5) + -4 5 + X + (3 * -2 + -4x * -2) = 3(x + 5) + -4 5 + X + (-6 + 8x) = 3(x + 5) + -4 Reorder the terms: 5 + -6 + X + 8x = 3(x + 5) + -4 Combine like terms: 5 + -6 = -1 -1 + X + 8x = 3(x + 5) + -4 Reorder the terms: -1 + X + 8x = 3(5 + x) + -4 -1 + X + 8x = (5 * 3 + x * 3) + -4 -1 + X + 8x = (15 + 3x) + -4 Reorder the terms: -1 + X + 8x = 15 + -4 + 3x Combine like terms: 15 + -4 = 11 -1 + X + 8x = 11 + 3x Solving -1 + X + 8x = 11 + 3x 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 = 11 + 1 + 3x Reorder the terms: -1 + 1 + X + 8x = 11 + 1 + 3x Combine like terms: -1 + 1 = 0 0 + X + 8x = 11 + 1 + 3x X + 8x = 11 + 1 + 3x Combine like terms: 11 + 1 = 12 X + 8x = 12 + 3x Add '-8x' to each side of the equation. X + 8x + -8x = 12 + 3x + -8x Combine like terms: 8x + -8x = 0 X + 0 = 12 + 3x + -8x X = 12 + 3x + -8x Combine like terms: 3x + -8x = -5x X = 12 + -5x Simplifying X = 12 + -5x
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