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Simplifying -10(4x + -5) = 5(-7x + -8) Reorder the terms: -10(-5 + 4x) = 5(-7x + -8) (-5 * -10 + 4x * -10) = 5(-7x + -8) (50 + -40x) = 5(-7x + -8) Reorder the terms: 50 + -40x = 5(-8 + -7x) 50 + -40x = (-8 * 5 + -7x * 5) 50 + -40x = (-40 + -35x) Solving 50 + -40x = -40 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 50 + -40x + 35x = -40 + -35x + 35x Combine like terms: -40x + 35x = -5x 50 + -5x = -40 + -35x + 35x Combine like terms: -35x + 35x = 0 50 + -5x = -40 + 0 50 + -5x = -40 Add '-50' to each side of the equation. 50 + -50 + -5x = -40 + -50 Combine like terms: 50 + -50 = 0 0 + -5x = -40 + -50 -5x = -40 + -50 Combine like terms: -40 + -50 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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