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Simplifying 5(3x + -7) + -1(3x + 9) = 0 Reorder the terms: 5(-7 + 3x) + -1(3x + 9) = 0 (-7 * 5 + 3x * 5) + -1(3x + 9) = 0 (-35 + 15x) + -1(3x + 9) = 0 Reorder the terms: -35 + 15x + -1(9 + 3x) = 0 -35 + 15x + (9 * -1 + 3x * -1) = 0 -35 + 15x + (-9 + -3x) = 0 Reorder the terms: -35 + -9 + 15x + -3x = 0 Combine like terms: -35 + -9 = -44 -44 + 15x + -3x = 0 Combine like terms: 15x + -3x = 12x -44 + 12x = 0 Solving -44 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 12x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 12x = 0 + 44 12x = 0 + 44 Combine like terms: 0 + 44 = 44 12x = 44 Divide each side by '12'. x = 3.666666667 Simplifying x = 3.666666667
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