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Simplifying 3(4x + 2) + -4x = 1 + -2(2x + 3) Reorder the terms: 3(2 + 4x) + -4x = 1 + -2(2x + 3) (2 * 3 + 4x * 3) + -4x = 1 + -2(2x + 3) (6 + 12x) + -4x = 1 + -2(2x + 3) Combine like terms: 12x + -4x = 8x 6 + 8x = 1 + -2(2x + 3) Reorder the terms: 6 + 8x = 1 + -2(3 + 2x) 6 + 8x = 1 + (3 * -2 + 2x * -2) 6 + 8x = 1 + (-6 + -4x) Combine like terms: 1 + -6 = -5 6 + 8x = -5 + -4x Solving 6 + 8x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 8x + 4x = -5 + -4x + 4x Combine like terms: 8x + 4x = 12x 6 + 12x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 12x = -5 + 0 6 + 12x = -5 Add '-6' to each side of the equation. 6 + -6 + 12x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -5 + -6 12x = -5 + -6 Combine like terms: -5 + -6 = -11 12x = -11 Divide each side by '12'. x = -0.9166666667 Simplifying x = -0.9166666667
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