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