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Simplifying 2(x + 6) + -3 = 0.5x + 9 Reorder the terms: 2(6 + x) + -3 = 0.5x + 9 (6 * 2 + x * 2) + -3 = 0.5x + 9 (12 + 2x) + -3 = 0.5x + 9 Reorder the terms: 12 + -3 + 2x = 0.5x + 9 Combine like terms: 12 + -3 = 9 9 + 2x = 0.5x + 9 Reorder the terms: 9 + 2x = 9 + 0.5x Add '-9' to each side of the equation. 9 + -9 + 2x = 9 + -9 + 0.5x Combine like terms: 9 + -9 = 0 0 + 2x = 9 + -9 + 0.5x 2x = 9 + -9 + 0.5x Combine like terms: 9 + -9 = 0 2x = 0 + 0.5x 2x = 0.5x Solving 2x = 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. 2x + -0.5x = 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 1.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.5x = 0.0 Divide each side by '1.5'. x = 0 Simplifying x = 0
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