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Simplifying (x + 4) + -2(3 + -3x) = 5(x + 3) + -1 Reorder the terms: (4 + x) + -2(3 + -3x) = 5(x + 3) + -1 Remove parenthesis around (4 + x) 4 + x + -2(3 + -3x) = 5(x + 3) + -1 4 + x + (3 * -2 + -3x * -2) = 5(x + 3) + -1 4 + x + (-6 + 6x) = 5(x + 3) + -1 Reorder the terms: 4 + -6 + x + 6x = 5(x + 3) + -1 Combine like terms: 4 + -6 = -2 -2 + x + 6x = 5(x + 3) + -1 Combine like terms: x + 6x = 7x -2 + 7x = 5(x + 3) + -1 Reorder the terms: -2 + 7x = 5(3 + x) + -1 -2 + 7x = (3 * 5 + x * 5) + -1 -2 + 7x = (15 + 5x) + -1 Reorder the terms: -2 + 7x = 15 + -1 + 5x Combine like terms: 15 + -1 = 14 -2 + 7x = 14 + 5x Solving -2 + 7x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 7x + -5x = 14 + 5x + -5x Combine like terms: 7x + -5x = 2x -2 + 2x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 2x = 14 + 0 -2 + 2x = 14 Add '2' to each side of the equation. -2 + 2 + 2x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 14 + 2 2x = 14 + 2 Combine like terms: 14 + 2 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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