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Simplifying 4 + 4(3x + -2) = -2(4x + -6) + 8x Reorder the terms: 4 + 4(-2 + 3x) = -2(4x + -6) + 8x 4 + (-2 * 4 + 3x * 4) = -2(4x + -6) + 8x 4 + (-8 + 12x) = -2(4x + -6) + 8x Combine like terms: 4 + -8 = -4 -4 + 12x = -2(4x + -6) + 8x Reorder the terms: -4 + 12x = -2(-6 + 4x) + 8x -4 + 12x = (-6 * -2 + 4x * -2) + 8x -4 + 12x = (12 + -8x) + 8x Combine like terms: -8x + 8x = 0 -4 + 12x = 12 + 0 -4 + 12x = 12 Solving -4 + 12x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 12x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 12 + 4 12x = 12 + 4 Combine like terms: 12 + 4 = 16 12x = 16 Divide each side by '12'. x = 1.333333333 Simplifying x = 1.333333333
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