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Simplifying 2(x + 1) + 2(x + 4) = 50 Reorder the terms: 2(1 + x) + 2(x + 4) = 50 (1 * 2 + x * 2) + 2(x + 4) = 50 (2 + 2x) + 2(x + 4) = 50 Reorder the terms: 2 + 2x + 2(4 + x) = 50 2 + 2x + (4 * 2 + x * 2) = 50 2 + 2x + (8 + 2x) = 50 Reorder the terms: 2 + 8 + 2x + 2x = 50 Combine like terms: 2 + 8 = 10 10 + 2x + 2x = 50 Combine like terms: 2x + 2x = 4x 10 + 4x = 50 Solving 10 + 4x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4x = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 50 + -10 4x = 50 + -10 Combine like terms: 50 + -10 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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