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Simplifying 4(7x + 1) + 2(3x + -5) = 0 Reorder the terms: 4(1 + 7x) + 2(3x + -5) = 0 (1 * 4 + 7x * 4) + 2(3x + -5) = 0 (4 + 28x) + 2(3x + -5) = 0 Reorder the terms: 4 + 28x + 2(-5 + 3x) = 0 4 + 28x + (-5 * 2 + 3x * 2) = 0 4 + 28x + (-10 + 6x) = 0 Reorder the terms: 4 + -10 + 28x + 6x = 0 Combine like terms: 4 + -10 = -6 -6 + 28x + 6x = 0 Combine like terms: 28x + 6x = 34x -6 + 34x = 0 Solving -6 + 34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 34x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 34x = 0 + 6 34x = 0 + 6 Combine like terms: 0 + 6 = 6 34x = 6 Divide each side by '34'. x = 0.1764705882 Simplifying x = 0.1764705882
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