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Simplifying 2(2x + 1) = 3(7 + -3x) Reorder the terms: 2(1 + 2x) = 3(7 + -3x) (1 * 2 + 2x * 2) = 3(7 + -3x) (2 + 4x) = 3(7 + -3x) 2 + 4x = (7 * 3 + -3x * 3) 2 + 4x = (21 + -9x) Solving 2 + 4x = 21 + -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 + 4x + 9x = 21 + -9x + 9x Combine like terms: 4x + 9x = 13x 2 + 13x = 21 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 13x = 21 + 0 2 + 13x = 21 Add '-2' to each side of the equation. 2 + -2 + 13x = 21 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 21 + -2 13x = 21 + -2 Combine like terms: 21 + -2 = 19 13x = 19 Divide each side by '13'. x = 1.461538462 Simplifying x = 1.461538462
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