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Simplifying (x + 3) + -2(2 + -4x) = 6(x + 4) + -1 Reorder the terms: (3 + x) + -2(2 + -4x) = 6(x + 4) + -1 Remove parenthesis around (3 + x) 3 + x + -2(2 + -4x) = 6(x + 4) + -1 3 + x + (2 * -2 + -4x * -2) = 6(x + 4) + -1 3 + x + (-4 + 8x) = 6(x + 4) + -1 Reorder the terms: 3 + -4 + x + 8x = 6(x + 4) + -1 Combine like terms: 3 + -4 = -1 -1 + x + 8x = 6(x + 4) + -1 Combine like terms: x + 8x = 9x -1 + 9x = 6(x + 4) + -1 Reorder the terms: -1 + 9x = 6(4 + x) + -1 -1 + 9x = (4 * 6 + x * 6) + -1 -1 + 9x = (24 + 6x) + -1 Reorder the terms: -1 + 9x = 24 + -1 + 6x Combine like terms: 24 + -1 = 23 -1 + 9x = 23 + 6x Solving -1 + 9x = 23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 9x + -6x = 23 + 6x + -6x Combine like terms: 9x + -6x = 3x -1 + 3x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 3x = 23 + 0 -1 + 3x = 23 Add '1' to each side of the equation. -1 + 1 + 3x = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 23 + 1 3x = 23 + 1 Combine like terms: 23 + 1 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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