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Simplifying (3x + 1) * 4 = (2 + 2x) * 5 Reorder the terms: (1 + 3x) * 4 = (2 + 2x) * 5 Reorder the terms for easier multiplication: 4(1 + 3x) = (2 + 2x) * 5 (1 * 4 + 3x * 4) = (2 + 2x) * 5 (4 + 12x) = (2 + 2x) * 5 Reorder the terms for easier multiplication: 4 + 12x = 5(2 + 2x) 4 + 12x = (2 * 5 + 2x * 5) 4 + 12x = (10 + 10x) Solving 4 + 12x = 10 + 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. 4 + 12x + -10x = 10 + 10x + -10x Combine like terms: 12x + -10x = 2x 4 + 2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + 2x = 10 + 0 4 + 2x = 10 Add '-4' to each side of the equation. 4 + -4 + 2x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 10 + -4 2x = 10 + -4 Combine like terms: 10 + -4 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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