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Simplifying 109 = 5x + 2(3x + 16) Reorder the terms: 109 = 5x + 2(16 + 3x) 109 = 5x + (16 * 2 + 3x * 2) 109 = 5x + (32 + 6x) Reorder the terms: 109 = 32 + 5x + 6x Combine like terms: 5x + 6x = 11x 109 = 32 + 11x Solving 109 = 32 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 109 + -11x = 32 + 11x + -11x Combine like terms: 11x + -11x = 0 109 + -11x = 32 + 0 109 + -11x = 32 Add '-109' to each side of the equation. 109 + -109 + -11x = 32 + -109 Combine like terms: 109 + -109 = 0 0 + -11x = 32 + -109 -11x = 32 + -109 Combine like terms: 32 + -109 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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