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Simplifying 5(2x + -8) = 4x + 2 Reorder the terms: 5(-8 + 2x) = 4x + 2 (-8 * 5 + 2x * 5) = 4x + 2 (-40 + 10x) = 4x + 2 Reorder the terms: -40 + 10x = 2 + 4x Solving -40 + 10x = 2 + 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 = 2 + 4x + -4x Combine like terms: 10x + -4x = 6x -40 + 6x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 6x = 2 + 0 -40 + 6x = 2 Add '40' to each side of the equation. -40 + 40 + 6x = 2 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 2 + 40 6x = 2 + 40 Combine like terms: 2 + 40 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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