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Simplifying 3x + 17 + 5(x + -8) = 0 Reorder the terms: 3x + 17 + 5(-8 + x) = 0 3x + 17 + (-8 * 5 + x * 5) = 0 3x + 17 + (-40 + 5x) = 0 Reorder the terms: 17 + -40 + 3x + 5x = 0 Combine like terms: 17 + -40 = -23 -23 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x -23 + 8x = 0 Solving -23 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 8x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 0 + 23 8x = 0 + 23 Combine like terms: 0 + 23 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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