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Simplifying 5(x + -1) + 3(x + 8) = 0 Reorder the terms: 5(-1 + x) + 3(x + 8) = 0 (-1 * 5 + x * 5) + 3(x + 8) = 0 (-5 + 5x) + 3(x + 8) = 0 Reorder the terms: -5 + 5x + 3(8 + x) = 0 -5 + 5x + (8 * 3 + x * 3) = 0 -5 + 5x + (24 + 3x) = 0 Reorder the terms: -5 + 24 + 5x + 3x = 0 Combine like terms: -5 + 24 = 19 19 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x 19 + 8x = 0 Solving 19 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 8x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 0 + -19 8x = 0 + -19 Combine like terms: 0 + -19 = -19 8x = -19 Divide each side by '8'. x = -2.375 Simplifying x = -2.375
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