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Simplifying (3x + 2) + (x + -7) + -1(2x + 4) = 0 Reorder the terms: (2 + 3x) + (x + -7) + -1(2x + 4) = 0 Remove parenthesis around (2 + 3x) 2 + 3x + (x + -7) + -1(2x + 4) = 0 Reorder the terms: 2 + 3x + (-7 + x) + -1(2x + 4) = 0 Remove parenthesis around (-7 + x) 2 + 3x + -7 + x + -1(2x + 4) = 0 Reorder the terms: 2 + 3x + -7 + x + -1(4 + 2x) = 0 2 + 3x + -7 + x + (4 * -1 + 2x * -1) = 0 2 + 3x + -7 + x + (-4 + -2x) = 0 Reorder the terms: 2 + -7 + -4 + 3x + x + -2x = 0 Combine like terms: 2 + -7 = -5 -5 + -4 + 3x + x + -2x = 0 Combine like terms: -5 + -4 = -9 -9 + 3x + x + -2x = 0 Combine like terms: 3x + x = 4x -9 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -9 + 2x = 0 Solving -9 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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