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Simplifying -8(x + 6) + 6(2x + 1) = 0 Reorder the terms: -8(6 + x) + 6(2x + 1) = 0 (6 * -8 + x * -8) + 6(2x + 1) = 0 (-48 + -8x) + 6(2x + 1) = 0 Reorder the terms: -48 + -8x + 6(1 + 2x) = 0 -48 + -8x + (1 * 6 + 2x * 6) = 0 -48 + -8x + (6 + 12x) = 0 Reorder the terms: -48 + 6 + -8x + 12x = 0 Combine like terms: -48 + 6 = -42 -42 + -8x + 12x = 0 Combine like terms: -8x + 12x = 4x -42 + 4x = 0 Solving -42 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 4x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 0 + 42 4x = 0 + 42 Combine like terms: 0 + 42 = 42 4x = 42 Divide each side by '4'. x = 10.5 Simplifying x = 10.5
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