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Simplifying 3(2x + 1) = 2 + -1(2x + -3) Reorder the terms: 3(1 + 2x) = 2 + -1(2x + -3) (1 * 3 + 2x * 3) = 2 + -1(2x + -3) (3 + 6x) = 2 + -1(2x + -3) Reorder the terms: 3 + 6x = 2 + -1(-3 + 2x) 3 + 6x = 2 + (-3 * -1 + 2x * -1) 3 + 6x = 2 + (3 + -2x) Combine like terms: 2 + 3 = 5 3 + 6x = 5 + -2x Solving 3 + 6x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 6x + 2x = 5 + -2x + 2x Combine like terms: 6x + 2x = 8x 3 + 8x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 8x = 5 + 0 3 + 8x = 5 Add '-3' to each side of the equation. 3 + -3 + 8x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 5 + -3 8x = 5 + -3 Combine like terms: 5 + -3 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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