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Simplifying 2(X + 3) = 3(7X + -5) Reorder the terms: 2(3 + X) = 3(7X + -5) (3 * 2 + X * 2) = 3(7X + -5) (6 + 2X) = 3(7X + -5) Reorder the terms: 6 + 2X = 3(-5 + 7X) 6 + 2X = (-5 * 3 + 7X * 3) 6 + 2X = (-15 + 21X) Solving 6 + 2X = -15 + 21X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21X' to each side of the equation. 6 + 2X + -21X = -15 + 21X + -21X Combine like terms: 2X + -21X = -19X 6 + -19X = -15 + 21X + -21X Combine like terms: 21X + -21X = 0 6 + -19X = -15 + 0 6 + -19X = -15 Add '-6' to each side of the equation. 6 + -6 + -19X = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -19X = -15 + -6 -19X = -15 + -6 Combine like terms: -15 + -6 = -21 -19X = -21 Divide each side by '-19'. X = 1.105263158 Simplifying X = 1.105263158
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