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Simplifying 2(x + -1) + 3(4x + 2) = 0 Reorder the terms: 2(-1 + x) + 3(4x + 2) = 0 (-1 * 2 + x * 2) + 3(4x + 2) = 0 (-2 + 2x) + 3(4x + 2) = 0 Reorder the terms: -2 + 2x + 3(2 + 4x) = 0 -2 + 2x + (2 * 3 + 4x * 3) = 0 -2 + 2x + (6 + 12x) = 0 Reorder the terms: -2 + 6 + 2x + 12x = 0 Combine like terms: -2 + 6 = 4 4 + 2x + 12x = 0 Combine like terms: 2x + 12x = 14x 4 + 14x = 0 Solving 4 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 0 + -4 14x = 0 + -4 Combine like terms: 0 + -4 = -4 14x = -4 Divide each side by '14'. x = -0.2857142857 Simplifying x = -0.2857142857
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