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Simplifying 2x + 2(5x + -15) = 42 Reorder the terms: 2x + 2(-15 + 5x) = 42 2x + (-15 * 2 + 5x * 2) = 42 2x + (-30 + 10x) = 42 Reorder the terms: -30 + 2x + 10x = 42 Combine like terms: 2x + 10x = 12x -30 + 12x = 42 Solving -30 + 12x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 12x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 42 + 30 12x = 42 + 30 Combine like terms: 42 + 30 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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