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Simplifying (7 + 2x) * 6 = 7 * 12 + x Reorder the terms for easier multiplication: 6(7 + 2x) = 7 * 12 + x (7 * 6 + 2x * 6) = 7 * 12 + x (42 + 12x) = 7 * 12 + x Multiply 7 * 12 42 + 12x = 84 + x Solving 42 + 12x = 84 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 42 + 12x + -1x = 84 + x + -1x Combine like terms: 12x + -1x = 11x 42 + 11x = 84 + x + -1x Combine like terms: x + -1x = 0 42 + 11x = 84 + 0 42 + 11x = 84 Add '-42' to each side of the equation. 42 + -42 + 11x = 84 + -42 Combine like terms: 42 + -42 = 0 0 + 11x = 84 + -42 11x = 84 + -42 Combine like terms: 84 + -42 = 42 11x = 42 Divide each side by '11'. x = 3.818181818 Simplifying x = 3.818181818
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