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Simplifying 5(2x + -8) = 2(7 + -2x) Reorder the terms: 5(-8 + 2x) = 2(7 + -2x) (-8 * 5 + 2x * 5) = 2(7 + -2x) (-40 + 10x) = 2(7 + -2x) -40 + 10x = (7 * 2 + -2x * 2) -40 + 10x = (14 + -4x) Solving -40 + 10x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -40 + 10x + 4x = 14 + -4x + 4x Combine like terms: 10x + 4x = 14x -40 + 14x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -40 + 14x = 14 + 0 -40 + 14x = 14 Add '40' to each side of the equation. -40 + 40 + 14x = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 14x = 14 + 40 14x = 14 + 40 Combine like terms: 14 + 40 = 54 14x = 54 Divide each side by '14'. x = 3.857142857 Simplifying x = 3.857142857
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