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Simplifying 5(8x + -10) = 2(25x + -20) Reorder the terms: 5(-10 + 8x) = 2(25x + -20) (-10 * 5 + 8x * 5) = 2(25x + -20) (-50 + 40x) = 2(25x + -20) Reorder the terms: -50 + 40x = 2(-20 + 25x) -50 + 40x = (-20 * 2 + 25x * 2) -50 + 40x = (-40 + 50x) Solving -50 + 40x = -40 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -50 + 40x + -50x = -40 + 50x + -50x Combine like terms: 40x + -50x = -10x -50 + -10x = -40 + 50x + -50x Combine like terms: 50x + -50x = 0 -50 + -10x = -40 + 0 -50 + -10x = -40 Add '50' to each side of the equation. -50 + 50 + -10x = -40 + 50 Combine like terms: -50 + 50 = 0 0 + -10x = -40 + 50 -10x = -40 + 50 Combine like terms: -40 + 50 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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