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Simplifying -4(2x + -5) + -2(2x + 4) = 0 Reorder the terms: -4(-5 + 2x) + -2(2x + 4) = 0 (-5 * -4 + 2x * -4) + -2(2x + 4) = 0 (20 + -8x) + -2(2x + 4) = 0 Reorder the terms: 20 + -8x + -2(4 + 2x) = 0 20 + -8x + (4 * -2 + 2x * -2) = 0 20 + -8x + (-8 + -4x) = 0 Reorder the terms: 20 + -8 + -8x + -4x = 0 Combine like terms: 20 + -8 = 12 12 + -8x + -4x = 0 Combine like terms: -8x + -4x = -12x 12 + -12x = 0 Solving 12 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -12x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = 0 + -12 -12x = 0 + -12 Combine like terms: 0 + -12 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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