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Simplifying 2x + 3x + 5(2x + -3) = 30 Reorder the terms: 2x + 3x + 5(-3 + 2x) = 30 2x + 3x + (-3 * 5 + 2x * 5) = 30 2x + 3x + (-15 + 10x) = 30 Reorder the terms: -15 + 2x + 3x + 10x = 30 Combine like terms: 2x + 3x = 5x -15 + 5x + 10x = 30 Combine like terms: 5x + 10x = 15x -15 + 15x = 30 Solving -15 + 15x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 15x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 30 + 15 15x = 30 + 15 Combine like terms: 30 + 15 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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