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Simplifying 3(4x + -1) = 7x + 2 Reorder the terms: 3(-1 + 4x) = 7x + 2 (-1 * 3 + 4x * 3) = 7x + 2 (-3 + 12x) = 7x + 2 Reorder the terms: -3 + 12x = 2 + 7x Solving -3 + 12x = 2 + 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. -3 + 12x + -7x = 2 + 7x + -7x Combine like terms: 12x + -7x = 5x -3 + 5x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + 5x = 2 + 0 -3 + 5x = 2 Add '3' to each side of the equation. -3 + 3 + 5x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 2 + 3 5x = 2 + 3 Combine like terms: 2 + 3 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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