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