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Simplifying 5(2X + 1) = 7X + 15 Reorder the terms: 5(1 + 2X) = 7X + 15 (1 * 5 + 2X * 5) = 7X + 15 (5 + 10X) = 7X + 15 Reorder the terms: 5 + 10X = 15 + 7X Solving 5 + 10X = 15 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. 5 + 10X + -7X = 15 + 7X + -7X Combine like terms: 10X + -7X = 3X 5 + 3X = 15 + 7X + -7X Combine like terms: 7X + -7X = 0 5 + 3X = 15 + 0 5 + 3X = 15 Add '-5' to each side of the equation. 5 + -5 + 3X = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 3X = 15 + -5 3X = 15 + -5 Combine like terms: 15 + -5 = 10 3X = 10 Divide each side by '3'. X = 3.333333333 Simplifying X = 3.333333333
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