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Simplifying 5(4x + -8) = 7x + 6 Reorder the terms: 5(-8 + 4x) = 7x + 6 (-8 * 5 + 4x * 5) = 7x + 6 (-40 + 20x) = 7x + 6 Reorder the terms: -40 + 20x = 6 + 7x Solving -40 + 20x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -40 + 20x + -7x = 6 + 7x + -7x Combine like terms: 20x + -7x = 13x -40 + 13x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -40 + 13x = 6 + 0 -40 + 13x = 6 Add '40' to each side of the equation. -40 + 40 + 13x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 13x = 6 + 40 13x = 6 + 40 Combine like terms: 6 + 40 = 46 13x = 46 Divide each side by '13'. x = 3.538461538 Simplifying x = 3.538461538
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