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Simplifying 6(-2x + 3) + -4(8 + -5x) = 0 Reorder the terms: 6(3 + -2x) + -4(8 + -5x) = 0 (3 * 6 + -2x * 6) + -4(8 + -5x) = 0 (18 + -12x) + -4(8 + -5x) = 0 18 + -12x + (8 * -4 + -5x * -4) = 0 18 + -12x + (-32 + 20x) = 0 Reorder the terms: 18 + -32 + -12x + 20x = 0 Combine like terms: 18 + -32 = -14 -14 + -12x + 20x = 0 Combine like terms: -12x + 20x = 8x -14 + 8x = 0 Solving -14 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 0 + 14 8x = 0 + 14 Combine like terms: 0 + 14 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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