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Simplifying (7 + 2x) * 6 = 12 + 7x Reorder the terms for easier multiplication: 6(7 + 2x) = 12 + 7x (7 * 6 + 2x * 6) = 12 + 7x (42 + 12x) = 12 + 7x Solving 42 + 12x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + 12x + -7x = 12 + 7x + -7x Combine like terms: 12x + -7x = 5x 42 + 5x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + 5x = 12 + 0 42 + 5x = 12 Add '-42' to each side of the equation. 42 + -42 + 5x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 12 + -42 5x = 12 + -42 Combine like terms: 12 + -42 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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