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Simplifying (x + 2) + -2(2 + -4x) = 5x + 15 + -1 Reorder the terms: (2 + x) + -2(2 + -4x) = 5x + 15 + -1 Remove parenthesis around (2 + x) 2 + x + -2(2 + -4x) = 5x + 15 + -1 2 + x + (2 * -2 + -4x * -2) = 5x + 15 + -1 2 + x + (-4 + 8x) = 5x + 15 + -1 Reorder the terms: 2 + -4 + x + 8x = 5x + 15 + -1 Combine like terms: 2 + -4 = -2 -2 + x + 8x = 5x + 15 + -1 Combine like terms: x + 8x = 9x -2 + 9x = 5x + 15 + -1 Reorder the terms: -2 + 9x = 15 + -1 + 5x Combine like terms: 15 + -1 = 14 -2 + 9x = 14 + 5x Solving -2 + 9x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 9x + -5x = 14 + 5x + -5x Combine like terms: 9x + -5x = 4x -2 + 4x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 4x = 14 + 0 -2 + 4x = 14 Add '2' to each side of the equation. -2 + 2 + 4x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 14 + 2 4x = 14 + 2 Combine like terms: 14 + 2 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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