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Simplifying 2(4x + 5) + -4(x + 2) = 0 Reorder the terms: 2(5 + 4x) + -4(x + 2) = 0 (5 * 2 + 4x * 2) + -4(x + 2) = 0 (10 + 8x) + -4(x + 2) = 0 Reorder the terms: 10 + 8x + -4(2 + x) = 0 10 + 8x + (2 * -4 + x * -4) = 0 10 + 8x + (-8 + -4x) = 0 Reorder the terms: 10 + -8 + 8x + -4x = 0 Combine like terms: 10 + -8 = 2 2 + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x 2 + 4x = 0 Solving 2 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 0 + -2 4x = 0 + -2 Combine like terms: 0 + -2 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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