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Simplifying 6(2x + -1) * 12 = 3(7x + 6) Reorder the terms: 6(-1 + 2x) * 12 = 3(7x + 6) Reorder the terms for easier multiplication: 6 * 12(-1 + 2x) = 3(7x + 6) Multiply 6 * 12 72(-1 + 2x) = 3(7x + 6) (-1 * 72 + 2x * 72) = 3(7x + 6) (-72 + 144x) = 3(7x + 6) Reorder the terms: -72 + 144x = 3(6 + 7x) -72 + 144x = (6 * 3 + 7x * 3) -72 + 144x = (18 + 21x) Solving -72 + 144x = 18 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -72 + 144x + -21x = 18 + 21x + -21x Combine like terms: 144x + -21x = 123x -72 + 123x = 18 + 21x + -21x Combine like terms: 21x + -21x = 0 -72 + 123x = 18 + 0 -72 + 123x = 18 Add '72' to each side of the equation. -72 + 72 + 123x = 18 + 72 Combine like terms: -72 + 72 = 0 0 + 123x = 18 + 72 123x = 18 + 72 Combine like terms: 18 + 72 = 90 123x = 90 Divide each side by '123'. x = 0.7317073171 Simplifying x = 0.7317073171
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