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Simplifying -2(x + 4) + 3(1 + -2x) = 0 Reorder the terms: -2(4 + x) + 3(1 + -2x) = 0 (4 * -2 + x * -2) + 3(1 + -2x) = 0 (-8 + -2x) + 3(1 + -2x) = 0 -8 + -2x + (1 * 3 + -2x * 3) = 0 -8 + -2x + (3 + -6x) = 0 Reorder the terms: -8 + 3 + -2x + -6x = 0 Combine like terms: -8 + 3 = -5 -5 + -2x + -6x = 0 Combine like terms: -2x + -6x = -8x -5 + -8x = 0 Solving -5 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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