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Simplifying [x + 2] + -3 = 0.5x + 1 Reorder the terms: [2 + x] + -3 = 0.5x + 1 Remove brackets around [2 + x] 2 + x + -3 = 0.5x + 1 Reorder the terms: 2 + -3 + x = 0.5x + 1 Combine like terms: 2 + -3 = -1 -1 + x = 0.5x + 1 Reorder the terms: -1 + x = 1 + 0.5x Solving -1 + x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -1 + x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x -1 + 0.5x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1 + 0.5x = 1 + 0.0 -1 + 0.5x = 1 Add '1' to each side of the equation. -1 + 1 + 0.5x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 0.5x = 1 + 1 0.5x = 1 + 1 Combine like terms: 1 + 1 = 2 0.5x = 2 Divide each side by '0.5'. x = 4 Simplifying x = 4
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