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Simplifying 4(2x + -4) + -2(x + 5) = 0 Reorder the terms: 4(-4 + 2x) + -2(x + 5) = 0 (-4 * 4 + 2x * 4) + -2(x + 5) = 0 (-16 + 8x) + -2(x + 5) = 0 Reorder the terms: -16 + 8x + -2(5 + x) = 0 -16 + 8x + (5 * -2 + x * -2) = 0 -16 + 8x + (-10 + -2x) = 0 Reorder the terms: -16 + -10 + 8x + -2x = 0 Combine like terms: -16 + -10 = -26 -26 + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x -26 + 6x = 0 Solving -26 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 6x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 6x = 0 + 26 6x = 0 + 26 Combine like terms: 0 + 26 = 26 6x = 26 Divide each side by '6'. x = 4.333333333 Simplifying x = 4.333333333
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