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Simplifying 5(2x + -8) = 2x + x(7 + -2) Reorder the terms: 5(-8 + 2x) = 2x + x(7 + -2) (-8 * 5 + 2x * 5) = 2x + x(7 + -2) (-40 + 10x) = 2x + x(7 + -2) Combine like terms: 7 + -2 = 5 -40 + 10x = 2x + x(5) Reorder the terms for easier multiplication: -40 + 10x = 2x + 5x Combine like terms: 2x + 5x = 7x -40 + 10x = 7x Solving -40 + 10x = 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 + 10x + -7x = 7x + -7x Combine like terms: 10x + -7x = 3x -40 + 3x = 7x + -7x Combine like terms: 7x + -7x = 0 -40 + 3x = 0 Add '40' to each side of the equation. -40 + 40 + 3x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = 0 + 40 3x = 0 + 40 Combine like terms: 0 + 40 = 40 3x = 40 Divide each side by '3'. x = 13.33333333 Simplifying x = 13.33333333
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