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Simplifying 6(2x + -1) = 5x + 2 Reorder the terms: 6(-1 + 2x) = 5x + 2 (-1 * 6 + 2x * 6) = 5x + 2 (-6 + 12x) = 5x + 2 Reorder the terms: -6 + 12x = 2 + 5x Solving -6 + 12x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 12x + -5x = 2 + 5x + -5x Combine like terms: 12x + -5x = 7x -6 + 7x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 7x = 2 + 0 -6 + 7x = 2 Add '6' to each side of the equation. -6 + 6 + 7x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 2 + 6 7x = 2 + 6 Combine like terms: 2 + 6 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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