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Simplifying 3(2X + 1) = 7X + -2 Reorder the terms: 3(1 + 2X) = 7X + -2 (1 * 3 + 2X * 3) = 7X + -2 (3 + 6X) = 7X + -2 Reorder the terms: 3 + 6X = -2 + 7X Solving 3 + 6X = -2 + 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. 3 + 6X + -7X = -2 + 7X + -7X Combine like terms: 6X + -7X = -1X 3 + -1X = -2 + 7X + -7X Combine like terms: 7X + -7X = 0 3 + -1X = -2 + 0 3 + -1X = -2 Add '-3' to each side of the equation. 3 + -3 + -1X = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = -2 + -3 -1X = -2 + -3 Combine like terms: -2 + -3 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5
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