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Simplifying 2(x + 3) = 0.5x + 12 Reorder the terms: 2(3 + x) = 0.5x + 12 (3 * 2 + x * 2) = 0.5x + 12 (6 + 2x) = 0.5x + 12 Reorder the terms: 6 + 2x = 12 + 0.5x Solving 6 + 2x = 12 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6 + 2x + -0.5x = 12 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 6 + 1.5x = 12 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + 1.5x = 12 + 0.0 6 + 1.5x = 12 Add '-6' to each side of the equation. 6 + -6 + 1.5x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1.5x = 12 + -6 1.5x = 12 + -6 Combine like terms: 12 + -6 = 6 1.5x = 6 Divide each side by '1.5'. x = 4 Simplifying x = 4
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