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Simplifying (3x + 2) * 7 = 5x + 2 Reorder the terms: (2 + 3x) * 7 = 5x + 2 Reorder the terms for easier multiplication: 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 = -12 16x = -12 Divide each side by '16'. x = -0.75 Simplifying x = -0.75
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