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Simplifying 5(2X + 3) + -2 = 7X + 20 Reorder the terms: 5(3 + 2X) + -2 = 7X + 20 (3 * 5 + 2X * 5) + -2 = 7X + 20 (15 + 10X) + -2 = 7X + 20 Reorder the terms: 15 + -2 + 10X = 7X + 20 Combine like terms: 15 + -2 = 13 13 + 10X = 7X + 20 Reorder the terms: 13 + 10X = 20 + 7X Solving 13 + 10X = 20 + 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. 13 + 10X + -7X = 20 + 7X + -7X Combine like terms: 10X + -7X = 3X 13 + 3X = 20 + 7X + -7X Combine like terms: 7X + -7X = 0 13 + 3X = 20 + 0 13 + 3X = 20 Add '-13' to each side of the equation. 13 + -13 + 3X = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 3X = 20 + -13 3X = 20 + -13 Combine like terms: 20 + -13 = 7 3X = 7 Divide each side by '3'. X = 2.333333333 Simplifying X = 2.333333333
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