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Simplifying 5(2x + 4) = 10(6x + -8) Reorder the terms: 5(4 + 2x) = 10(6x + -8) (4 * 5 + 2x * 5) = 10(6x + -8) (20 + 10x) = 10(6x + -8) Reorder the terms: 20 + 10x = 10(-8 + 6x) 20 + 10x = (-8 * 10 + 6x * 10) 20 + 10x = (-80 + 60x) Solving 20 + 10x = -80 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 20 + 10x + -60x = -80 + 60x + -60x Combine like terms: 10x + -60x = -50x 20 + -50x = -80 + 60x + -60x Combine like terms: 60x + -60x = 0 20 + -50x = -80 + 0 20 + -50x = -80 Add '-20' to each side of the equation. 20 + -20 + -50x = -80 + -20 Combine like terms: 20 + -20 = 0 0 + -50x = -80 + -20 -50x = -80 + -20 Combine like terms: -80 + -20 = -100 -50x = -100 Divide each side by '-50'. x = 2 Simplifying x = 2
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