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Simplifying (x + 3) + -2(2 + -4x) = 2(x + 4) + -2 Reorder the terms: (3 + x) + -2(2 + -4x) = 2(x + 4) + -2 Remove parenthesis around (3 + x) 3 + x + -2(2 + -4x) = 2(x + 4) + -2 3 + x + (2 * -2 + -4x * -2) = 2(x + 4) + -2 3 + x + (-4 + 8x) = 2(x + 4) + -2 Reorder the terms: 3 + -4 + x + 8x = 2(x + 4) + -2 Combine like terms: 3 + -4 = -1 -1 + x + 8x = 2(x + 4) + -2 Combine like terms: x + 8x = 9x -1 + 9x = 2(x + 4) + -2 Reorder the terms: -1 + 9x = 2(4 + x) + -2 -1 + 9x = (4 * 2 + x * 2) + -2 -1 + 9x = (8 + 2x) + -2 Reorder the terms: -1 + 9x = 8 + -2 + 2x Combine like terms: 8 + -2 = 6 -1 + 9x = 6 + 2x Solving -1 + 9x = 6 + 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. -1 + 9x + -2x = 6 + 2x + -2x Combine like terms: 9x + -2x = 7x -1 + 7x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 7x = 6 + 0 -1 + 7x = 6 Add '1' to each side of the equation. -1 + 1 + 7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 6 + 1 7x = 6 + 1 Combine like terms: 6 + 1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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