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Simplifying 6(2x + -1) = 4 + 7x Reorder the terms: 6(-1 + 2x) = 4 + 7x (-1 * 6 + 2x * 6) = 4 + 7x (-6 + 12x) = 4 + 7x Solving -6 + 12x = 4 + 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. -6 + 12x + -7x = 4 + 7x + -7x Combine like terms: 12x + -7x = 5x -6 + 5x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 5x = 4 + 0 -6 + 5x = 4 Add '6' to each side of the equation. -6 + 6 + 5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 4 + 6 5x = 4 + 6 Combine like terms: 4 + 6 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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