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Simplifying 2x + 2(x + 5) = x + 2(x + 5) + 1 Reorder the terms: 2x + 2(5 + x) = x + 2(x + 5) + 1 2x + (5 * 2 + x * 2) = x + 2(x + 5) + 1 2x + (10 + 2x) = x + 2(x + 5) + 1 Reorder the terms: 10 + 2x + 2x = x + 2(x + 5) + 1 Combine like terms: 2x + 2x = 4x 10 + 4x = x + 2(x + 5) + 1 Reorder the terms: 10 + 4x = x + 2(5 + x) + 1 10 + 4x = x + (5 * 2 + x * 2) + 1 10 + 4x = x + (10 + 2x) + 1 Reorder the terms: 10 + 4x = 10 + 1 + x + 2x Combine like terms: 10 + 1 = 11 10 + 4x = 11 + x + 2x Combine like terms: x + 2x = 3x 10 + 4x = 11 + 3x Solving 10 + 4x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 4x + -3x = 11 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = 11 + 0 10 + 1x = 11 Add '-10' to each side of the equation. 10 + -10 + 1x = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 11 + -10 1x = 11 + -10 Combine like terms: 11 + -10 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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