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Simplifying 6(2x + 1) = 7x + -4 Reorder the terms: 6(1 + 2x) = 7x + -4 (1 * 6 + 2x * 6) = 7x + -4 (6 + 12x) = 7x + -4 Reorder the terms: 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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