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Simplifying 0.5x + 5 = 4x + -2 Reorder the terms: 5 + 0.5x = 4x + -2 Reorder the terms: 5 + 0.5x = -2 + 4x Solving 5 + 0.5x = -2 + 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 = -2 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 5 + -3.5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -3.5x = -2 + 0 5 + -3.5x = -2 Add '-5' to each side of the equation. 5 + -5 + -3.5x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -3.5x = -2 + -5 -3.5x = -2 + -5 Combine like terms: -2 + -5 = -7 -3.5x = -7 Divide each side by '-3.5'. x = 2 Simplifying x = 2
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