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Simplifying (X + 3) + -2(2 + -4x) = 5(x + 5) + -2 Reorder the terms: (3 + X) + -2(2 + -4x) = 5(x + 5) + -2 Remove parenthesis around (3 + X) 3 + X + -2(2 + -4x) = 5(x + 5) + -2 3 + X + (2 * -2 + -4x * -2) = 5(x + 5) + -2 3 + X + (-4 + 8x) = 5(x + 5) + -2 Reorder the terms: 3 + -4 + X + 8x = 5(x + 5) + -2 Combine like terms: 3 + -4 = -1 -1 + X + 8x = 5(x + 5) + -2 Reorder the terms: -1 + X + 8x = 5(5 + x) + -2 -1 + X + 8x = (5 * 5 + x * 5) + -2 -1 + X + 8x = (25 + 5x) + -2 Reorder the terms: -1 + X + 8x = 25 + -2 + 5x Combine like terms: 25 + -2 = 23 -1 + X + 8x = 23 + 5x Solving -1 + X + 8x = 23 + 5x 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 = 23 + 1 + 5x Reorder the terms: -1 + 1 + X + 8x = 23 + 1 + 5x Combine like terms: -1 + 1 = 0 0 + X + 8x = 23 + 1 + 5x X + 8x = 23 + 1 + 5x Combine like terms: 23 + 1 = 24 X + 8x = 24 + 5x Add '-8x' to each side of the equation. X + 8x + -8x = 24 + 5x + -8x Combine like terms: 8x + -8x = 0 X + 0 = 24 + 5x + -8x X = 24 + 5x + -8x Combine like terms: 5x + -8x = -3x X = 24 + -3x Simplifying X = 24 + -3x
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