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Simplifying (x + 4) + -2(4 + -3x) = 4(x + 3) + -1 Reorder the terms: (4 + x) + -2(4 + -3x) = 4(x + 3) + -1 Remove parenthesis around (4 + x) 4 + x + -2(4 + -3x) = 4(x + 3) + -1 4 + x + (4 * -2 + -3x * -2) = 4(x + 3) + -1 4 + x + (-8 + 6x) = 4(x + 3) + -1 Reorder the terms: 4 + -8 + x + 6x = 4(x + 3) + -1 Combine like terms: 4 + -8 = -4 -4 + x + 6x = 4(x + 3) + -1 Combine like terms: x + 6x = 7x -4 + 7x = 4(x + 3) + -1 Reorder the terms: -4 + 7x = 4(3 + x) + -1 -4 + 7x = (3 * 4 + x * 4) + -1 -4 + 7x = (12 + 4x) + -1 Reorder the terms: -4 + 7x = 12 + -1 + 4x Combine like terms: 12 + -1 = 11 -4 + 7x = 11 + 4x Solving -4 + 7x = 11 + 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 + 7x + -4x = 11 + 4x + -4x Combine like terms: 7x + -4x = 3x -4 + 3x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 3x = 11 + 0 -4 + 3x = 11 Add '4' to each side of the equation. -4 + 4 + 3x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 11 + 4 3x = 11 + 4 Combine like terms: 11 + 4 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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