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Simplifying 2x + 1 = 0.50(15 + [x + -1]) Reorder the terms: 1 + 2x = 0.50(15 + [x + -1]) Reorder the terms: 1 + 2x = 0.50(15 + [-1 + x]) Remove brackets around [-1 + x] 1 + 2x = 0.50(15 + -1 + x) Combine like terms: 15 + -1 = 14 1 + 2x = 0.50(14 + x) 1 + 2x = (14 * 0.50 + x * 0.50) 1 + 2x = (7 + 0.50x) Solving 1 + 2x = 7 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 1 + 2x + -0.50x = 7 + 0.50x + -0.50x Combine like terms: 2x + -0.50x = 1.5x 1 + 1.5x = 7 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 1 + 1.5x = 7 + 0.00 1 + 1.5x = 7 Add '-1' to each side of the equation. 1 + -1 + 1.5x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5x = 7 + -1 1.5x = 7 + -1 Combine like terms: 7 + -1 = 6 1.5x = 6 Divide each side by '1.5'. x = 4 Simplifying x = 4
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