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Simplifying -8(x + 4) + 5(2x + 1) = 0 Reorder the terms: -8(4 + x) + 5(2x + 1) = 0 (4 * -8 + x * -8) + 5(2x + 1) = 0 (-32 + -8x) + 5(2x + 1) = 0 Reorder the terms: -32 + -8x + 5(1 + 2x) = 0 -32 + -8x + (1 * 5 + 2x * 5) = 0 -32 + -8x + (5 + 10x) = 0 Reorder the terms: -32 + 5 + -8x + 10x = 0 Combine like terms: -32 + 5 = -27 -27 + -8x + 10x = 0 Combine like terms: -8x + 10x = 2x -27 + 2x = 0 Solving -27 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 2x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = 0 + 27 2x = 0 + 27 Combine like terms: 0 + 27 = 27 2x = 27 Divide each side by '2'. x = 13.5 Simplifying x = 13.5
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