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Simplifying 5(3x + -1) = 5x + 15 Reorder the terms: 5(-1 + 3x) = 5x + 15 (-1 * 5 + 3x * 5) = 5x + 15 (-5 + 15x) = 5x + 15 Reorder the terms: -5 + 15x = 15 + 5x Solving -5 + 15x = 15 + 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. -5 + 15x + -5x = 15 + 5x + -5x Combine like terms: 15x + -5x = 10x -5 + 10x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 10x = 15 + 0 -5 + 10x = 15 Add '5' to each side of the equation. -5 + 5 + 10x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 15 + 5 10x = 15 + 5 Combine like terms: 15 + 5 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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