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Simplifying -1(8x + 4) = 6(2x + 1) Reorder the terms: -1(4 + 8x) = 6(2x + 1) (4 * -1 + 8x * -1) = 6(2x + 1) (-4 + -8x) = 6(2x + 1) Reorder the terms: -4 + -8x = 6(1 + 2x) -4 + -8x = (1 * 6 + 2x * 6) -4 + -8x = (6 + 12x) Solving -4 + -8x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + -8x + -12x = 6 + 12x + -12x Combine like terms: -8x + -12x = -20x -4 + -20x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -20x = 6 + 0 -4 + -20x = 6 Add '4' to each side of the equation. -4 + 4 + -20x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -20x = 6 + 4 -20x = 6 + 4 Combine like terms: 6 + 4 = 10 -20x = 10 Divide each side by '-20'. x = -0.5 Simplifying x = -0.5
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