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Simplifying 5(4x + -8) + 3(2x + 2) = 20 Reorder the terms: 5(-8 + 4x) + 3(2x + 2) = 20 (-8 * 5 + 4x * 5) + 3(2x + 2) = 20 (-40 + 20x) + 3(2x + 2) = 20 Reorder the terms: -40 + 20x + 3(2 + 2x) = 20 -40 + 20x + (2 * 3 + 2x * 3) = 20 -40 + 20x + (6 + 6x) = 20 Reorder the terms: -40 + 6 + 20x + 6x = 20 Combine like terms: -40 + 6 = -34 -34 + 20x + 6x = 20 Combine like terms: 20x + 6x = 26x -34 + 26x = 20 Solving -34 + 26x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 26x = 20 + 34 Combine like terms: -34 + 34 = 0 0 + 26x = 20 + 34 26x = 20 + 34 Combine like terms: 20 + 34 = 54 26x = 54 Divide each side by '26'. x = 2.076923077 Simplifying x = 2.076923077
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