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Simplifying 3(2x + 1) = 0.5(6x + 4) Reorder the terms: 3(1 + 2x) = 0.5(6x + 4) (1 * 3 + 2x * 3) = 0.5(6x + 4) (3 + 6x) = 0.5(6x + 4) Reorder the terms: 3 + 6x = 0.5(4 + 6x) 3 + 6x = (4 * 0.5 + 6x * 0.5) 3 + 6x = (2 + 3x) Solving 3 + 6x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 6x + -3x = 2 + 3x + -3x Combine like terms: 6x + -3x = 3x 3 + 3x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 3x = 2 + 0 3 + 3x = 2 Add '-3' to each side of the equation. 3 + -3 + 3x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 2 + -3 3x = 2 + -3 Combine like terms: 2 + -3 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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