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Simplifying 2 = 0.5(x + 1) + 3.5 Reorder the terms: 2 = 0.5(1 + x) + 3.5 2 = (1 * 0.5 + x * 0.5) + 3.5 2 = (0.5 + 0.5x) + 3.5 Reorder the terms: 2 = 0.5 + 3.5 + 0.5x Combine like terms: 0.5 + 3.5 = 4 2 = 4 + 0.5x Solving 2 = 4 + 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. 2 + -0.5x = 4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2 + -0.5x = 4 + 0.0 2 + -0.5x = 4 Add '-2' to each side of the equation. 2 + -2 + -0.5x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5x = 4 + -2 -0.5x = 4 + -2 Combine like terms: 4 + -2 = 2 -0.5x = 2 Divide each side by '-0.5'. x = -4 Simplifying x = -4
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