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Simplifying 3(2x + 1) = 2(4x + 5) Reorder the terms: 3(1 + 2x) = 2(4x + 5) (1 * 3 + 2x * 3) = 2(4x + 5) (3 + 6x) = 2(4x + 5) Reorder the terms: 3 + 6x = 2(5 + 4x) 3 + 6x = (5 * 2 + 4x * 2) 3 + 6x = (10 + 8x) Solving 3 + 6x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 6x + -8x = 10 + 8x + -8x Combine like terms: 6x + -8x = -2x 3 + -2x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -2x = 10 + 0 3 + -2x = 10 Add '-3' to each side of the equation. 3 + -3 + -2x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 10 + -3 -2x = 10 + -3 Combine like terms: 10 + -3 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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