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Simplifying -8(x + 7) + 6(2x + 1) = 0 Reorder the terms: -8(7 + x) + 6(2x + 1) = 0 (7 * -8 + x * -8) + 6(2x + 1) = 0 (-56 + -8x) + 6(2x + 1) = 0 Reorder the terms: -56 + -8x + 6(1 + 2x) = 0 -56 + -8x + (1 * 6 + 2x * 6) = 0 -56 + -8x + (6 + 12x) = 0 Reorder the terms: -56 + 6 + -8x + 12x = 0 Combine like terms: -56 + 6 = -50 -50 + -8x + 12x = 0 Combine like terms: -8x + 12x = 4x -50 + 4x = 0 Solving -50 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 4x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 4x = 0 + 50 4x = 0 + 50 Combine like terms: 0 + 50 = 50 4x = 50 Divide each side by '4'. x = 12.5 Simplifying x = 12.5
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