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Simplifying 5(3x + 4) + -7(5x + 6) + 22x + -9 = 0 Reorder the terms: 5(4 + 3x) + -7(5x + 6) + 22x + -9 = 0 (4 * 5 + 3x * 5) + -7(5x + 6) + 22x + -9 = 0 (20 + 15x) + -7(5x + 6) + 22x + -9 = 0 Reorder the terms: 20 + 15x + -7(6 + 5x) + 22x + -9 = 0 20 + 15x + (6 * -7 + 5x * -7) + 22x + -9 = 0 20 + 15x + (-42 + -35x) + 22x + -9 = 0 Reorder the terms: 20 + -42 + -9 + 15x + -35x + 22x = 0 Combine like terms: 20 + -42 = -22 -22 + -9 + 15x + -35x + 22x = 0 Combine like terms: -22 + -9 = -31 -31 + 15x + -35x + 22x = 0 Combine like terms: 15x + -35x = -20x -31 + -20x + 22x = 0 Combine like terms: -20x + 22x = 2x -31 + 2x = 0 Solving -31 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 2x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = 0 + 31 2x = 0 + 31 Combine like terms: 0 + 31 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5
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