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Simplifying (x + 5) + x + 2(x + 5) = 43 Reorder the terms: (5 + x) + x + 2(x + 5) = 43 Remove parenthesis around (5 + x) 5 + x + x + 2(x + 5) = 43 Reorder the terms: 5 + x + x + 2(5 + x) = 43 5 + x + x + (5 * 2 + x * 2) = 43 5 + x + x + (10 + 2x) = 43 Reorder the terms: 5 + 10 + x + x + 2x = 43 Combine like terms: 5 + 10 = 15 15 + x + x + 2x = 43 Combine like terms: x + x = 2x 15 + 2x + 2x = 43 Combine like terms: 2x + 2x = 4x 15 + 4x = 43 Solving 15 + 4x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4x = 43 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 43 + -15 4x = 43 + -15 Combine like terms: 43 + -15 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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