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Simplifying 5x + 2(x + 2) = 2(x + 12) Reorder the terms: 5x + 2(2 + x) = 2(x + 12) 5x + (2 * 2 + x * 2) = 2(x + 12) 5x + (4 + 2x) = 2(x + 12) Reorder the terms: 4 + 5x + 2x = 2(x + 12) Combine like terms: 5x + 2x = 7x 4 + 7x = 2(x + 12) Reorder the terms: 4 + 7x = 2(12 + x) 4 + 7x = (12 * 2 + x * 2) 4 + 7x = (24 + 2x) Solving 4 + 7x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 7x + -2x = 24 + 2x + -2x Combine like terms: 7x + -2x = 5x 4 + 5x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 5x = 24 + 0 4 + 5x = 24 Add '-4' to each side of the equation. 4 + -4 + 5x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 24 + -4 5x = 24 + -4 Combine like terms: 24 + -4 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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