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