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Simplifying 5(3x + -8) + 9x = 0 Reorder the terms: 5(-8 + 3x) + 9x = 0 (-8 * 5 + 3x * 5) + 9x = 0 (-40 + 15x) + 9x = 0 Combine like terms: 15x + 9x = 24x -40 + 24x = 0 Solving -40 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 24x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 24x = 0 + 40 24x = 0 + 40 Combine like terms: 0 + 40 = 40 24x = 40 Divide each side by '24'. x = 1.666666667 Simplifying x = 1.666666667
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