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Simplifying 5(5x + -8) = 2x + 6 Reorder the terms: 5(-8 + 5x) = 2x + 6 (-8 * 5 + 5x * 5) = 2x + 6 (-40 + 25x) = 2x + 6 Reorder the terms: -40 + 25x = 6 + 2x Solving -40 + 25x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + 25x + -2x = 6 + 2x + -2x Combine like terms: 25x + -2x = 23x -40 + 23x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 23x = 6 + 0 -40 + 23x = 6 Add '40' to each side of the equation. -40 + 40 + 23x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 23x = 6 + 40 23x = 6 + 40 Combine like terms: 6 + 40 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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