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Simplifying 2(x + 4) + -3(-4x + 1) = 0 Reorder the terms: 2(4 + x) + -3(-4x + 1) = 0 (4 * 2 + x * 2) + -3(-4x + 1) = 0 (8 + 2x) + -3(-4x + 1) = 0 Reorder the terms: 8 + 2x + -3(1 + -4x) = 0 8 + 2x + (1 * -3 + -4x * -3) = 0 8 + 2x + (-3 + 12x) = 0 Reorder the terms: 8 + -3 + 2x + 12x = 0 Combine like terms: 8 + -3 = 5 5 + 2x + 12x = 0 Combine like terms: 2x + 12x = 14x 5 + 14x = 0 Solving 5 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 14x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = 0 + -5 14x = 0 + -5 Combine like terms: 0 + -5 = -5 14x = -5 Divide each side by '14'. x = -0.3571428571 Simplifying x = -0.3571428571
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