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