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Simplifying 2(2x + -8) = 4(9 + -5x) Reorder the terms: 2(-8 + 2x) = 4(9 + -5x) (-8 * 2 + 2x * 2) = 4(9 + -5x) (-16 + 4x) = 4(9 + -5x) -16 + 4x = (9 * 4 + -5x * 4) -16 + 4x = (36 + -20x) Solving -16 + 4x = 36 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -16 + 4x + 20x = 36 + -20x + 20x Combine like terms: 4x + 20x = 24x -16 + 24x = 36 + -20x + 20x Combine like terms: -20x + 20x = 0 -16 + 24x = 36 + 0 -16 + 24x = 36 Add '16' to each side of the equation. -16 + 16 + 24x = 36 + 16 Combine like terms: -16 + 16 = 0 0 + 24x = 36 + 16 24x = 36 + 16 Combine like terms: 36 + 16 = 52 24x = 52 Divide each side by '24'. x = 2.166666667 Simplifying x = 2.166666667
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