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Simplifying 5(2x + -8) = 45x Reorder the terms: 5(-8 + 2x) = 45x (-8 * 5 + 2x * 5) = 45x (-40 + 10x) = 45x Solving -40 + 10x = 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -40 + 10x + -45x = 45x + -45x Combine like terms: 10x + -45x = -35x -40 + -35x = 45x + -45x Combine like terms: 45x + -45x = 0 -40 + -35x = 0 Add '40' to each side of the equation. -40 + 40 + -35x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -35x = 0 + 40 -35x = 0 + 40 Combine like terms: 0 + 40 = 40 -35x = 40 Divide each side by '-35'. x = -1.142857143 Simplifying x = -1.142857143
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