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Simplifying 8(2x + -1) + 3(4 + -5x) = 0 Reorder the terms: 8(-1 + 2x) + 3(4 + -5x) = 0 (-1 * 8 + 2x * 8) + 3(4 + -5x) = 0 (-8 + 16x) + 3(4 + -5x) = 0 -8 + 16x + (4 * 3 + -5x * 3) = 0 -8 + 16x + (12 + -15x) = 0 Reorder the terms: -8 + 12 + 16x + -15x = 0 Combine like terms: -8 + 12 = 4 4 + 16x + -15x = 0 Combine like terms: 16x + -15x = 1x 4 + 1x = 0 Solving 4 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 0 + -4 1x = 0 + -4 Combine like terms: 0 + -4 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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