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Simplifying (5x + 10) * 2 = (3x + 1) * 3 Reorder the terms: (10 + 5x) * 2 = (3x + 1) * 3 Reorder the terms for easier multiplication: 2(10 + 5x) = (3x + 1) * 3 (10 * 2 + 5x * 2) = (3x + 1) * 3 (20 + 10x) = (3x + 1) * 3 Reorder the terms: 20 + 10x = (1 + 3x) * 3 Reorder the terms for easier multiplication: 20 + 10x = 3(1 + 3x) 20 + 10x = (1 * 3 + 3x * 3) 20 + 10x = (3 + 9x) Solving 20 + 10x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + 10x + -9x = 3 + 9x + -9x Combine like terms: 10x + -9x = 1x 20 + 1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + 1x = 3 + 0 20 + 1x = 3 Add '-20' to each side of the equation. 20 + -20 + 1x = 3 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 3 + -20 1x = 3 + -20 Combine like terms: 3 + -20 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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