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Simplifying (x + 2) + -2(3 + -4x) = 4(x + 5) + -4 Reorder the terms: (2 + x) + -2(3 + -4x) = 4(x + 5) + -4 Remove parenthesis around (2 + x) 2 + x + -2(3 + -4x) = 4(x + 5) + -4 2 + x + (3 * -2 + -4x * -2) = 4(x + 5) + -4 2 + x + (-6 + 8x) = 4(x + 5) + -4 Reorder the terms: 2 + -6 + x + 8x = 4(x + 5) + -4 Combine like terms: 2 + -6 = -4 -4 + x + 8x = 4(x + 5) + -4 Combine like terms: x + 8x = 9x -4 + 9x = 4(x + 5) + -4 Reorder the terms: -4 + 9x = 4(5 + x) + -4 -4 + 9x = (5 * 4 + x * 4) + -4 -4 + 9x = (20 + 4x) + -4 Reorder the terms: -4 + 9x = 20 + -4 + 4x Combine like terms: 20 + -4 = 16 -4 + 9x = 16 + 4x Solving -4 + 9x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 9x + -4x = 16 + 4x + -4x Combine like terms: 9x + -4x = 5x -4 + 5x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 5x = 16 + 0 -4 + 5x = 16 Add '4' to each side of the equation. -4 + 4 + 5x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 16 + 4 5x = 16 + 4 Combine like terms: 16 + 4 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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