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Simplifying (x + 4) + -2(4 + -4x) = 3(x + 5) + -1 Reorder the terms: (4 + x) + -2(4 + -4x) = 3(x + 5) + -1 Remove parenthesis around (4 + x) 4 + x + -2(4 + -4x) = 3(x + 5) + -1 4 + x + (4 * -2 + -4x * -2) = 3(x + 5) + -1 4 + x + (-8 + 8x) = 3(x + 5) + -1 Reorder the terms: 4 + -8 + x + 8x = 3(x + 5) + -1 Combine like terms: 4 + -8 = -4 -4 + x + 8x = 3(x + 5) + -1 Combine like terms: x + 8x = 9x -4 + 9x = 3(x + 5) + -1 Reorder the terms: -4 + 9x = 3(5 + x) + -1 -4 + 9x = (5 * 3 + x * 3) + -1 -4 + 9x = (15 + 3x) + -1 Reorder the terms: -4 + 9x = 15 + -1 + 3x Combine like terms: 15 + -1 = 14 -4 + 9x = 14 + 3x Solving -4 + 9x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 9x + -3x = 14 + 3x + -3x Combine like terms: 9x + -3x = 6x -4 + 6x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 6x = 14 + 0 -4 + 6x = 14 Add '4' to each side of the equation. -4 + 4 + 6x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 14 + 4 6x = 14 + 4 Combine like terms: 14 + 4 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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