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Simplifying 5(5x + -3) = 2x + 31 Reorder the terms: 5(-3 + 5x) = 2x + 31 (-3 * 5 + 5x * 5) = 2x + 31 (-15 + 25x) = 2x + 31 Reorder the terms: -15 + 25x = 31 + 2x Solving -15 + 25x = 31 + 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. -15 + 25x + -2x = 31 + 2x + -2x Combine like terms: 25x + -2x = 23x -15 + 23x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 23x = 31 + 0 -15 + 23x = 31 Add '15' to each side of the equation. -15 + 15 + 23x = 31 + 15 Combine like terms: -15 + 15 = 0 0 + 23x = 31 + 15 23x = 31 + 15 Combine like terms: 31 + 15 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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