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Simplifying -2(4x + -5) + 6(2x + 1) = 8 Reorder the terms: -2(-5 + 4x) + 6(2x + 1) = 8 (-5 * -2 + 4x * -2) + 6(2x + 1) = 8 (10 + -8x) + 6(2x + 1) = 8 Reorder the terms: 10 + -8x + 6(1 + 2x) = 8 10 + -8x + (1 * 6 + 2x * 6) = 8 10 + -8x + (6 + 12x) = 8 Reorder the terms: 10 + 6 + -8x + 12x = 8 Combine like terms: 10 + 6 = 16 16 + -8x + 12x = 8 Combine like terms: -8x + 12x = 4x 16 + 4x = 8 Solving 16 + 4x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 8 + -16 4x = 8 + -16 Combine like terms: 8 + -16 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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