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Simplifying -8(x + 6) + 5(2x + 1) = 0 Reorder the terms: -8(6 + x) + 5(2x + 1) = 0 (6 * -8 + x * -8) + 5(2x + 1) = 0 (-48 + -8x) + 5(2x + 1) = 0 Reorder the terms: -48 + -8x + 5(1 + 2x) = 0 -48 + -8x + (1 * 5 + 2x * 5) = 0 -48 + -8x + (5 + 10x) = 0 Reorder the terms: -48 + 5 + -8x + 10x = 0 Combine like terms: -48 + 5 = -43 -43 + -8x + 10x = 0 Combine like terms: -8x + 10x = 2x -43 + 2x = 0 Solving -43 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 2x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 2x = 0 + 43 2x = 0 + 43 Combine like terms: 0 + 43 = 43 2x = 43 Divide each side by '2'. x = 21.5 Simplifying x = 21.5
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