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Simplifying 105 = 2x + 5(2x + 9) Reorder the terms: 105 = 2x + 5(9 + 2x) 105 = 2x + (9 * 5 + 2x * 5) 105 = 2x + (45 + 10x) Reorder the terms: 105 = 45 + 2x + 10x Combine like terms: 2x + 10x = 12x 105 = 45 + 12x Solving 105 = 45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 105 + -12x = 45 + 12x + -12x Combine like terms: 12x + -12x = 0 105 + -12x = 45 + 0 105 + -12x = 45 Add '-105' to each side of the equation. 105 + -105 + -12x = 45 + -105 Combine like terms: 105 + -105 = 0 0 + -12x = 45 + -105 -12x = 45 + -105 Combine like terms: 45 + -105 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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