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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 = -3.5x 4 + -3.5x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -3.5x = -1 + 0 4 + -3.5x = -1 Add '-4' to each side of the equation. 4 + -4 + -3.5x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -3.5x = -1 + -4 -3.5x = -1 + -4 Combine like terms: -1 + -4 = -5 -3.5x = -5 Divide each side by '-3.5'. x = 1.428571429 Simplifying x = 1.428571429
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