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Simplifying 2(x + -9) = 6 + 0.5x Reorder the terms: 2(-9 + x) = 6 + 0.5x (-9 * 2 + x * 2) = 6 + 0.5x (-18 + 2x) = 6 + 0.5x Solving -18 + 2x = 6 + 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. -18 + 2x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x -18 + 1.5x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -18 + 1.5x = 6 + 0.0 -18 + 1.5x = 6 Add '18' to each side of the equation. -18 + 18 + 1.5x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 1.5x = 6 + 18 1.5x = 6 + 18 Combine like terms: 6 + 18 = 24 1.5x = 24 Divide each side by '1.5'. x = 16 Simplifying x = 16
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