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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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