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Simplifying 3(2x + -5) = 5x + 23 Reorder the terms: 3(-5 + 2x) = 5x + 23 (-5 * 3 + 2x * 3) = 5x + 23 (-15 + 6x) = 5x + 23 Reorder the terms: -15 + 6x = 23 + 5x Solving -15 + 6x = 23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 6x + -5x = 23 + 5x + -5x Combine like terms: 6x + -5x = 1x -15 + 1x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 1x = 23 + 0 -15 + 1x = 23 Add '15' to each side of the equation. -15 + 15 + 1x = 23 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 23 + 15 1x = 23 + 15 Combine like terms: 23 + 15 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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