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Simplifying 2(5x + 2) = 2x + 14 + 3x Reorder the terms: 2(2 + 5x) = 2x + 14 + 3x (2 * 2 + 5x * 2) = 2x + 14 + 3x (4 + 10x) = 2x + 14 + 3x Reorder the terms: 4 + 10x = 14 + 2x + 3x Combine like terms: 2x + 3x = 5x 4 + 10x = 14 + 5x Solving 4 + 10x = 14 + 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. 4 + 10x + -5x = 14 + 5x + -5x Combine like terms: 10x + -5x = 5x 4 + 5x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 5x = 14 + 0 4 + 5x = 14 Add '-4' to each side of the equation. 4 + -4 + 5x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 14 + -4 5x = 14 + -4 Combine like terms: 14 + -4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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