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Simplifying 5(3x + -2) = 20 + 5x Reorder the terms: 5(-2 + 3x) = 20 + 5x (-2 * 5 + 3x * 5) = 20 + 5x (-10 + 15x) = 20 + 5x Solving -10 + 15x = 20 + 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. -10 + 15x + -5x = 20 + 5x + -5x Combine like terms: 15x + -5x = 10x -10 + 10x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 10x = 20 + 0 -10 + 10x = 20 Add '10' to each side of the equation. -10 + 10 + 10x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 20 + 10 10x = 20 + 10 Combine like terms: 20 + 10 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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