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Simplifying 2(5x + 1) = 3(3x + 2) Reorder the terms: 2(1 + 5x) = 3(3x + 2) (1 * 2 + 5x * 2) = 3(3x + 2) (2 + 10x) = 3(3x + 2) Reorder the terms: 2 + 10x = 3(2 + 3x) 2 + 10x = (2 * 3 + 3x * 3) 2 + 10x = (6 + 9x) Solving 2 + 10x = 6 + 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. 2 + 10x + -9x = 6 + 9x + -9x Combine like terms: 10x + -9x = 1x 2 + 1x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + 1x = 6 + 0 2 + 1x = 6 Add '-2' to each side of the equation. 2 + -2 + 1x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 6 + -2 1x = 6 + -2 Combine like terms: 6 + -2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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