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Simplifying 2x + 1 = 0.5(x + 15) Reorder the terms: 1 + 2x = 0.5(x + 15) Reorder the terms: 1 + 2x = 0.5(15 + x) 1 + 2x = (15 * 0.5 + x * 0.5) 1 + 2x = (7.5 + 0.5x) Solving 1 + 2x = 7.5 + 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 + 2x + -0.5x = 7.5 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 1 + 1.5x = 7.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1 + 1.5x = 7.5 + 0.0 1 + 1.5x = 7.5 Add '-1' to each side of the equation. 1 + -1 + 1.5x = 7.5 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5x = 7.5 + -1 1.5x = 7.5 + -1 Combine like terms: 7.5 + -1 = 6.5 1.5x = 6.5 Divide each side by '1.5'. x = 4.333333333 Simplifying x = 4.333333333
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