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Simplifying 0.5x + 4 = -4x + 1 Reorder the terms: 4 + 0.5x = -4x + 1 Reorder the terms: 4 + 0.5x = 1 + -4x Solving 4 + 0.5x = 1 + -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. 4 + 0.5x + 4x = 1 + -4x + 4x Combine like terms: 0.5x + 4x = 4.5x 4 + 4.5x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 4.5x = 1 + 0 4 + 4.5x = 1 Add '-4' to each side of the equation. 4 + -4 + 4.5x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 4.5x = 1 + -4 4.5x = 1 + -4 Combine like terms: 1 + -4 = -3 4.5x = -3 Divide each side by '4.5'. x = -0.6666666667 Simplifying x = -0.6666666667
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