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Simplifying (3x + 2) * 7 = (2x + 1) * 5 Reorder the terms: (2 + 3x) * 7 = (2x + 1) * 5 Reorder the terms for easier multiplication: 7(2 + 3x) = (2x + 1) * 5 (2 * 7 + 3x * 7) = (2x + 1) * 5 (14 + 21x) = (2x + 1) * 5 Reorder the terms: 14 + 21x = (1 + 2x) * 5 Reorder the terms for easier multiplication: 14 + 21x = 5(1 + 2x) 14 + 21x = (1 * 5 + 2x * 5) 14 + 21x = (5 + 10x) Solving 14 + 21x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 21x + -10x = 5 + 10x + -10x Combine like terms: 21x + -10x = 11x 14 + 11x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + 11x = 5 + 0 14 + 11x = 5 Add '-14' to each side of the equation. 14 + -14 + 11x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 5 + -14 11x = 5 + -14 Combine like terms: 5 + -14 = -9 11x = -9 Divide each side by '11'. x = -0.8181818182 Simplifying x = -0.8181818182
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