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Simplifying 8(4x + -2) = -2(3 + 6x) Reorder the terms: 8(-2 + 4x) = -2(3 + 6x) (-2 * 8 + 4x * 8) = -2(3 + 6x) (-16 + 32x) = -2(3 + 6x) -16 + 32x = (3 * -2 + 6x * -2) -16 + 32x = (-6 + -12x) Solving -16 + 32x = -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. -16 + 32x + 12x = -6 + -12x + 12x Combine like terms: 32x + 12x = 44x -16 + 44x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 -16 + 44x = -6 + 0 -16 + 44x = -6 Add '16' to each side of the equation. -16 + 16 + 44x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 44x = -6 + 16 44x = -6 + 16 Combine like terms: -6 + 16 = 10 44x = 10 Divide each side by '44'. x = 0.2272727273 Simplifying x = 0.2272727273
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