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Simplifying 3(4x + 1) = 2x + -7x Reorder the terms: 3(1 + 4x) = 2x + -7x (1 * 3 + 4x * 3) = 2x + -7x (3 + 12x) = 2x + -7x Combine like terms: 2x + -7x = -5x 3 + 12x = -5x Solving 3 + 12x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 12x + 5x = -5x + 5x Combine like terms: 12x + 5x = 17x 3 + 17x = -5x + 5x Combine like terms: -5x + 5x = 0 3 + 17x = 0 Add '-3' to each side of the equation. 3 + -3 + 17x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 17x = 0 + -3 17x = 0 + -3 Combine like terms: 0 + -3 = -3 17x = -3 Divide each side by '17'. x = -0.1764705882 Simplifying x = -0.1764705882
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