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Simplifying 4(3x + -1) = 6 + 7x Reorder the terms: 4(-1 + 3x) = 6 + 7x (-1 * 4 + 3x * 4) = 6 + 7x (-4 + 12x) = 6 + 7x Solving -4 + 12x = 6 + 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. -4 + 12x + -7x = 6 + 7x + -7x Combine like terms: 12x + -7x = 5x -4 + 5x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + 5x = 6 + 0 -4 + 5x = 6 Add '4' to each side of the equation. -4 + 4 + 5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 6 + 4 5x = 6 + 4 Combine like terms: 6 + 4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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