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Simplifying 5x + 6(13x + -8) + 9 = 0 Reorder the terms: 5x + 6(-8 + 13x) + 9 = 0 5x + (-8 * 6 + 13x * 6) + 9 = 0 5x + (-48 + 78x) + 9 = 0 Reorder the terms: -48 + 9 + 5x + 78x = 0 Combine like terms: -48 + 9 = -39 -39 + 5x + 78x = 0 Combine like terms: 5x + 78x = 83x -39 + 83x = 0 Solving -39 + 83x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 83x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 83x = 0 + 39 83x = 0 + 39 Combine like terms: 0 + 39 = 39 83x = 39 Divide each side by '83'. x = 0.4698795181 Simplifying x = 0.4698795181
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