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Simplifying 5 + -1[(9 + 7x) + (3x + -1)] = 4 + (2x + -7) Remove parenthesis around (9 + 7x) 5 + -1[9 + 7x + (3x + -1)] = 4 + (2x + -7) Reorder the terms: 5 + -1[9 + 7x + (-1 + 3x)] = 4 + (2x + -7) Remove parenthesis around (-1 + 3x) 5 + -1[9 + 7x + -1 + 3x] = 4 + (2x + -7) Reorder the terms: 5 + -1[9 + -1 + 7x + 3x] = 4 + (2x + -7) Combine like terms: 9 + -1 = 8 5 + -1[8 + 7x + 3x] = 4 + (2x + -7) Combine like terms: 7x + 3x = 10x 5 + -1[8 + 10x] = 4 + (2x + -7) 5 + [8 * -1 + 10x * -1] = 4 + (2x + -7) 5 + [-8 + -10x] = 4 + (2x + -7) Combine like terms: 5 + -8 = -3 -3 + -10x = 4 + (2x + -7) Reorder the terms: -3 + -10x = 4 + (-7 + 2x) Remove parenthesis around (-7 + 2x) -3 + -10x = 4 + -7 + 2x Combine like terms: 4 + -7 = -3 -3 + -10x = -3 + 2x Add '3' to each side of the equation. -3 + 3 + -10x = -3 + 3 + 2x Combine like terms: -3 + 3 = 0 0 + -10x = -3 + 3 + 2x -10x = -3 + 3 + 2x Combine like terms: -3 + 3 = 0 -10x = 0 + 2x -10x = 2x Solving -10x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10x + -2x = 2x + -2x Combine like terms: -10x + -2x = -12x -12x = 2x + -2x Combine like terms: 2x + -2x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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