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Simplifying (3x + 2) * 5 = 7(2x + 1) Reorder the terms: (2 + 3x) * 5 = 7(2x + 1) Reorder the terms for easier multiplication: 5(2 + 3x) = 7(2x + 1) (2 * 5 + 3x * 5) = 7(2x + 1) (10 + 15x) = 7(2x + 1) Reorder the terms: 10 + 15x = 7(1 + 2x) 10 + 15x = (1 * 7 + 2x * 7) 10 + 15x = (7 + 14x) Solving 10 + 15x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 10 + 15x + -14x = 7 + 14x + -14x Combine like terms: 15x + -14x = 1x 10 + 1x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 10 + 1x = 7 + 0 10 + 1x = 7 Add '-10' to each side of the equation. 10 + -10 + 1x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 7 + -10 1x = 7 + -10 Combine like terms: 7 + -10 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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