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Simplifying x + 2 + -0.5x = 1 + 5x + 1 Reorder the terms: 2 + x + -0.5x = 1 + 5x + 1 Combine like terms: x + -0.5x = 0.5x 2 + 0.5x = 1 + 5x + 1 Reorder the terms: 2 + 0.5x = 1 + 1 + 5x Combine like terms: 1 + 1 = 2 2 + 0.5x = 2 + 5x Add '-2' to each side of the equation. 2 + -2 + 0.5x = 2 + -2 + 5x Combine like terms: 2 + -2 = 0 0 + 0.5x = 2 + -2 + 5x 0.5x = 2 + -2 + 5x Combine like terms: 2 + -2 = 0 0.5x = 0 + 5x 0.5x = 5x Solving 0.5x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.5x + -5x = 5x + -5x Combine like terms: 0.5x + -5x = -4.5x -4.5x = 5x + -5x Combine like terms: 5x + -5x = 0 -4.5x = 0 Divide each side by '-4.5'. x = 0 Simplifying x = 0
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