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Simplifying 3(2x + 1) = (2 + -3x) * 5 Reorder the terms: 3(1 + 2x) = (2 + -3x) * 5 (1 * 3 + 2x * 3) = (2 + -3x) * 5 (3 + 6x) = (2 + -3x) * 5 Reorder the terms for easier multiplication: 3 + 6x = 5(2 + -3x) 3 + 6x = (2 * 5 + -3x * 5) 3 + 6x = (10 + -15x) Solving 3 + 6x = 10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 3 + 6x + 15x = 10 + -15x + 15x Combine like terms: 6x + 15x = 21x 3 + 21x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 3 + 21x = 10 + 0 3 + 21x = 10 Add '-3' to each side of the equation. 3 + -3 + 21x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 21x = 10 + -3 21x = 10 + -3 Combine like terms: 10 + -3 = 7 21x = 7 Divide each side by '21'. x = 0.3333333333 Simplifying x = 0.3333333333
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