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