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Simplifying -2(x + 2) + 4(2x + -5) = 0 Reorder the terms: -2(2 + x) + 4(2x + -5) = 0 (2 * -2 + x * -2) + 4(2x + -5) = 0 (-4 + -2x) + 4(2x + -5) = 0 Reorder the terms: -4 + -2x + 4(-5 + 2x) = 0 -4 + -2x + (-5 * 4 + 2x * 4) = 0 -4 + -2x + (-20 + 8x) = 0 Reorder the terms: -4 + -20 + -2x + 8x = 0 Combine like terms: -4 + -20 = -24 -24 + -2x + 8x = 0 Combine like terms: -2x + 8x = 6x -24 + 6x = 0 Solving -24 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 0 + 24 6x = 0 + 24 Combine like terms: 0 + 24 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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