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