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Simplifying (3x + 9) + -1(5x + -4) + 4x = 0 Reorder the terms: (9 + 3x) + -1(5x + -4) + 4x = 0 Remove parenthesis around (9 + 3x) 9 + 3x + -1(5x + -4) + 4x = 0 Reorder the terms: 9 + 3x + -1(-4 + 5x) + 4x = 0 9 + 3x + (-4 * -1 + 5x * -1) + 4x = 0 9 + 3x + (4 + -5x) + 4x = 0 Reorder the terms: 9 + 4 + 3x + -5x + 4x = 0 Combine like terms: 9 + 4 = 13 13 + 3x + -5x + 4x = 0 Combine like terms: 3x + -5x = -2x 13 + -2x + 4x = 0 Combine like terms: -2x + 4x = 2x 13 + 2x = 0 Solving 13 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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