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Simplifying 5(3x + -3) = 15 + 5x Reorder the terms: 5(-3 + 3x) = 15 + 5x (-3 * 5 + 3x * 5) = 15 + 5x (-15 + 15x) = 15 + 5x Solving -15 + 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. -15 + 15x + -5x = 15 + 5x + -5x Combine like terms: 15x + -5x = 10x -15 + 10x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 10x = 15 + 0 -15 + 10x = 15 Add '15' to each side of the equation. -15 + 15 + 10x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 15 + 15 10x = 15 + 15 Combine like terms: 15 + 15 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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