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Simplifying (x + 3) + -2(2 + -3x) = 4(x + 4) + -2 Reorder the terms: (3 + x) + -2(2 + -3x) = 4(x + 4) + -2 Remove parenthesis around (3 + x) 3 + x + -2(2 + -3x) = 4(x + 4) + -2 3 + x + (2 * -2 + -3x * -2) = 4(x + 4) + -2 3 + x + (-4 + 6x) = 4(x + 4) + -2 Reorder the terms: 3 + -4 + x + 6x = 4(x + 4) + -2 Combine like terms: 3 + -4 = -1 -1 + x + 6x = 4(x + 4) + -2 Combine like terms: x + 6x = 7x -1 + 7x = 4(x + 4) + -2 Reorder the terms: -1 + 7x = 4(4 + x) + -2 -1 + 7x = (4 * 4 + x * 4) + -2 -1 + 7x = (16 + 4x) + -2 Reorder the terms: -1 + 7x = 16 + -2 + 4x Combine like terms: 16 + -2 = 14 -1 + 7x = 14 + 4x Solving -1 + 7x = 14 + 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. -1 + 7x + -4x = 14 + 4x + -4x Combine like terms: 7x + -4x = 3x -1 + 3x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 3x = 14 + 0 -1 + 3x = 14 Add '1' to each side of the equation. -1 + 1 + 3x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 14 + 1 3x = 14 + 1 Combine like terms: 14 + 1 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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