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Simplifying 2(3x + 9) + -5 = 55 Reorder the terms: 2(9 + 3x) + -5 = 55 (9 * 2 + 3x * 2) + -5 = 55 (18 + 6x) + -5 = 55 Reorder the terms: 18 + -5 + 6x = 55 Combine like terms: 18 + -5 = 13 13 + 6x = 55 Solving 13 + 6x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6x = 55 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 55 + -13 6x = 55 + -13 Combine like terms: 55 + -13 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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