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Simplifying 0.5(x + -10) = 9 + 4x Reorder the terms: 0.5(-10 + x) = 9 + 4x (-10 * 0.5 + x * 0.5) = 9 + 4x (-5 + 0.5x) = 9 + 4x Solving -5 + 0.5x = 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. -5 + 0.5x + -4x = 9 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x -5 + -3.5x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -3.5x = 9 + 0 -5 + -3.5x = 9 Add '5' to each side of the equation. -5 + 5 + -3.5x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -3.5x = 9 + 5 -3.5x = 9 + 5 Combine like terms: 9 + 5 = 14 -3.5x = 14 Divide each side by '-3.5'. x = -4 Simplifying x = -4
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