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Simplifying 7(3x + -2) = 5x + 2 Reorder the terms: 7(-2 + 3x) = 5x + 2 (-2 * 7 + 3x * 7) = 5x + 2 (-14 + 21x) = 5x + 2 Reorder the terms: -14 + 21x = 2 + 5x Solving -14 + 21x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + 21x + -5x = 2 + 5x + -5x Combine like terms: 21x + -5x = 16x -14 + 16x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 16x = 2 + 0 -14 + 16x = 2 Add '14' to each side of the equation. -14 + 14 + 16x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 16x = 2 + 14 16x = 2 + 14 Combine like terms: 2 + 14 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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