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Simplifying -7(-4 + -2x) + 2(1 + 3x) = 0 (-4 * -7 + -2x * -7) + 2(1 + 3x) = 0 (28 + 14x) + 2(1 + 3x) = 0 28 + 14x + (1 * 2 + 3x * 2) = 0 28 + 14x + (2 + 6x) = 0 Reorder the terms: 28 + 2 + 14x + 6x = 0 Combine like terms: 28 + 2 = 30 30 + 14x + 6x = 0 Combine like terms: 14x + 6x = 20x 30 + 20x = 0 Solving 30 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 20x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 20x = 0 + -30 20x = 0 + -30 Combine like terms: 0 + -30 = -30 20x = -30 Divide each side by '20'. x = -1.5 Simplifying x = -1.5
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