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Simplifying 0.5(12x + -10) = 4x + 9.5 Reorder the terms: 0.5(-10 + 12x) = 4x + 9.5 (-10 * 0.5 + 12x * 0.5) = 4x + 9.5 (-5 + 6x) = 4x + 9.5 Reorder the terms: -5 + 6x = 9.5 + 4x Solving -5 + 6x = 9.5 + 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. -5 + 6x + -4x = 9.5 + 4x + -4x Combine like terms: 6x + -4x = 2x -5 + 2x = 9.5 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 2x = 9.5 + 0 -5 + 2x = 9.5 Add '5' to each side of the equation. -5 + 5 + 2x = 9.5 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 9.5 + 5 2x = 9.5 + 5 Combine like terms: 9.5 + 5 = 14.5 2x = 14.5 Divide each side by '2'. x = 7.25 Simplifying x = 7.25
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