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Simplifying 3 + -2(4x + 6) = 2 + 4x Reorder the terms: 3 + -2(6 + 4x) = 2 + 4x 3 + (6 * -2 + 4x * -2) = 2 + 4x 3 + (-12 + -8x) = 2 + 4x Combine like terms: 3 + -12 = -9 -9 + -8x = 2 + 4x Solving -9 + -8x = 2 + 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. -9 + -8x + -4x = 2 + 4x + -4x Combine like terms: -8x + -4x = -12x -9 + -12x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -12x = 2 + 0 -9 + -12x = 2 Add '9' to each side of the equation. -9 + 9 + -12x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + -12x = 2 + 9 -12x = 2 + 9 Combine like terms: 2 + 9 = 11 -12x = 11 Divide each side by '-12'. x = -0.9166666667 Simplifying x = -0.9166666667
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