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Simplifying 7(3x + -2) = 3.5x + 1 Reorder the terms: 7(-2 + 3x) = 3.5x + 1 (-2 * 7 + 3x * 7) = 3.5x + 1 (-14 + 21x) = 3.5x + 1 Reorder the terms: -14 + 21x = 1 + 3.5x Solving -14 + 21x = 1 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -14 + 21x + -3.5x = 1 + 3.5x + -3.5x Combine like terms: 21x + -3.5x = 17.5x -14 + 17.5x = 1 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -14 + 17.5x = 1 + 0.0 -14 + 17.5x = 1 Add '14' to each side of the equation. -14 + 14 + 17.5x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 17.5x = 1 + 14 17.5x = 1 + 14 Combine like terms: 1 + 14 = 15 17.5x = 15 Divide each side by '17.5'. x = 0.8571428571 Simplifying x = 0.8571428571
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