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Simplifying 2(4x + 3) + -2(2x + -4) = 0 Reorder the terms: 2(3 + 4x) + -2(2x + -4) = 0 (3 * 2 + 4x * 2) + -2(2x + -4) = 0 (6 + 8x) + -2(2x + -4) = 0 Reorder the terms: 6 + 8x + -2(-4 + 2x) = 0 6 + 8x + (-4 * -2 + 2x * -2) = 0 6 + 8x + (8 + -4x) = 0 Reorder the terms: 6 + 8 + 8x + -4x = 0 Combine like terms: 6 + 8 = 14 14 + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x 14 + 4x = 0 Solving 14 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 0 + -14 4x = 0 + -14 Combine like terms: 0 + -14 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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