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Simplifying 2(7x + 1) + 5(4x + -2) = 9 Reorder the terms: 2(1 + 7x) + 5(4x + -2) = 9 (1 * 2 + 7x * 2) + 5(4x + -2) = 9 (2 + 14x) + 5(4x + -2) = 9 Reorder the terms: 2 + 14x + 5(-2 + 4x) = 9 2 + 14x + (-2 * 5 + 4x * 5) = 9 2 + 14x + (-10 + 20x) = 9 Reorder the terms: 2 + -10 + 14x + 20x = 9 Combine like terms: 2 + -10 = -8 -8 + 14x + 20x = 9 Combine like terms: 14x + 20x = 34x -8 + 34x = 9 Solving -8 + 34x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 34x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 34x = 9 + 8 34x = 9 + 8 Combine like terms: 9 + 8 = 17 34x = 17 Divide each side by '34'. x = 0.5 Simplifying x = 0.5
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