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Simplifying 0.50(5x + -6) = 3x Reorder the terms: 0.50(-6 + 5x) = 3x (-6 * 0.50 + 5x * 0.50) = 3x (-3 + 2.5x) = 3x Solving -3 + 2.5x = 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 + 2.5x + -3x = 3x + -3x Combine like terms: 2.5x + -3x = -0.5x -3 + -0.5x = 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -0.5x = 0 Add '3' to each side of the equation. -3 + 3 + -0.5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -0.5x = 0 + 3 -0.5x = 0 + 3 Combine like terms: 0 + 3 = 3 -0.5x = 3 Divide each side by '-0.5'. x = -6 Simplifying x = -6
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