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Simplifying 3(4x + 1) + -5(x + -3) = 0 Reorder the terms: 3(1 + 4x) + -5(x + -3) = 0 (1 * 3 + 4x * 3) + -5(x + -3) = 0 (3 + 12x) + -5(x + -3) = 0 Reorder the terms: 3 + 12x + -5(-3 + x) = 0 3 + 12x + (-3 * -5 + x * -5) = 0 3 + 12x + (15 + -5x) = 0 Reorder the terms: 3 + 15 + 12x + -5x = 0 Combine like terms: 3 + 15 = 18 18 + 12x + -5x = 0 Combine like terms: 12x + -5x = 7x 18 + 7x = 0 Solving 18 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 0 + -18 7x = 0 + -18 Combine like terms: 0 + -18 = -18 7x = -18 Divide each side by '7'. x = -2.571428571 Simplifying x = -2.571428571
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