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Simplifying (x + 2) + -2(2 + -4x) = 2(x + 4) + -3 Reorder the terms: (2 + x) + -2(2 + -4x) = 2(x + 4) + -3 Remove parenthesis around (2 + x) 2 + x + -2(2 + -4x) = 2(x + 4) + -3 2 + x + (2 * -2 + -4x * -2) = 2(x + 4) + -3 2 + x + (-4 + 8x) = 2(x + 4) + -3 Reorder the terms: 2 + -4 + x + 8x = 2(x + 4) + -3 Combine like terms: 2 + -4 = -2 -2 + x + 8x = 2(x + 4) + -3 Combine like terms: x + 8x = 9x -2 + 9x = 2(x + 4) + -3 Reorder the terms: -2 + 9x = 2(4 + x) + -3 -2 + 9x = (4 * 2 + x * 2) + -3 -2 + 9x = (8 + 2x) + -3 Reorder the terms: -2 + 9x = 8 + -3 + 2x Combine like terms: 8 + -3 = 5 -2 + 9x = 5 + 2x Solving -2 + 9x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 9x + -2x = 5 + 2x + -2x Combine like terms: 9x + -2x = 7x -2 + 7x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 7x = 5 + 0 -2 + 7x = 5 Add '2' to each side of the equation. -2 + 2 + 7x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 5 + 2 7x = 5 + 2 Combine like terms: 5 + 2 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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