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Simplifying 0.5(10x + -6) = 4x + -9 Reorder the terms: 0.5(-6 + 10x) = 4x + -9 (-6 * 0.5 + 10x * 0.5) = 4x + -9 (-3 + 5x) = 4x + -9 Reorder the terms: -3 + 5x = -9 + 4x Solving -3 + 5x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 5x + -4x = -9 + 4x + -4x Combine like terms: 5x + -4x = 1x -3 + 1x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 1x = -9 + 0 -3 + 1x = -9 Add '3' to each side of the equation. -3 + 3 + 1x = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -9 + 3 1x = -9 + 3 Combine like terms: -9 + 3 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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