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Simplifying 5(3 + -1x) = 3(x + 5) (3 * 5 + -1x * 5) = 3(x + 5) (15 + -5x) = 3(x + 5) Reorder the terms: 15 + -5x = 3(5 + x) 15 + -5x = (5 * 3 + x * 3) 15 + -5x = (15 + 3x) Add '-15' to each side of the equation. 15 + -15 + -5x = 15 + -15 + 3x Combine like terms: 15 + -15 = 0 0 + -5x = 15 + -15 + 3x -5x = 15 + -15 + 3x Combine like terms: 15 + -15 = 0 -5x = 0 + 3x -5x = 3x Solving -5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5x + -3x = 3x + -3x Combine like terms: -5x + -3x = -8x -8x = 3x + -3x Combine like terms: 3x + -3x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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