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Simplifying (6x + 5) * 2 = 3x + 55 Reorder the terms: (5 + 6x) * 2 = 3x + 55 Reorder the terms for easier multiplication: 2(5 + 6x) = 3x + 55 (5 * 2 + 6x * 2) = 3x + 55 (10 + 12x) = 3x + 55 Reorder the terms: 10 + 12x = 55 + 3x Solving 10 + 12x = 55 + 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 + 12x + -3x = 55 + 3x + -3x Combine like terms: 12x + -3x = 9x 10 + 9x = 55 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 9x = 55 + 0 10 + 9x = 55 Add '-10' to each side of the equation. 10 + -10 + 9x = 55 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 55 + -10 9x = 55 + -10 Combine like terms: 55 + -10 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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