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Simplifying (X + 3) + -2(2 + -4x) = 4(x + 5) + -1 Reorder the terms: (3 + X) + -2(2 + -4x) = 4(x + 5) + -1 Remove parenthesis around (3 + X) 3 + X + -2(2 + -4x) = 4(x + 5) + -1 3 + X + (2 * -2 + -4x * -2) = 4(x + 5) + -1 3 + X + (-4 + 8x) = 4(x + 5) + -1 Reorder the terms: 3 + -4 + X + 8x = 4(x + 5) + -1 Combine like terms: 3 + -4 = -1 -1 + X + 8x = 4(x + 5) + -1 Reorder the terms: -1 + X + 8x = 4(5 + x) + -1 -1 + X + 8x = (5 * 4 + x * 4) + -1 -1 + X + 8x = (20 + 4x) + -1 Reorder the terms: -1 + X + 8x = 20 + -1 + 4x Combine like terms: 20 + -1 = 19 -1 + X + 8x = 19 + 4x Solving -1 + X + 8x = 19 + 4x 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 = 19 + 1 + 4x Reorder the terms: -1 + 1 + X + 8x = 19 + 1 + 4x Combine like terms: -1 + 1 = 0 0 + X + 8x = 19 + 1 + 4x X + 8x = 19 + 1 + 4x Combine like terms: 19 + 1 = 20 X + 8x = 20 + 4x Add '-8x' to each side of the equation. X + 8x + -8x = 20 + 4x + -8x Combine like terms: 8x + -8x = 0 X + 0 = 20 + 4x + -8x X = 20 + 4x + -8x Combine like terms: 4x + -8x = -4x X = 20 + -4x Simplifying X = 20 + -4x
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