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Simplifying 2(20x + -25) = 5(10x + -8) Reorder the terms: 2(-25 + 20x) = 5(10x + -8) (-25 * 2 + 20x * 2) = 5(10x + -8) (-50 + 40x) = 5(10x + -8) Reorder the terms: -50 + 40x = 5(-8 + 10x) -50 + 40x = (-8 * 5 + 10x * 5) -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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