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Simplifying 7(7X + 1) = 5(13X + -21) Reorder the terms: 7(1 + 7X) = 5(13X + -21) (1 * 7 + 7X * 7) = 5(13X + -21) (7 + 49X) = 5(13X + -21) Reorder the terms: 7 + 49X = 5(-21 + 13X) 7 + 49X = (-21 * 5 + 13X * 5) 7 + 49X = (-105 + 65X) Solving 7 + 49X = -105 + 65X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-65X' to each side of the equation. 7 + 49X + -65X = -105 + 65X + -65X Combine like terms: 49X + -65X = -16X 7 + -16X = -105 + 65X + -65X Combine like terms: 65X + -65X = 0 7 + -16X = -105 + 0 7 + -16X = -105 Add '-7' to each side of the equation. 7 + -7 + -16X = -105 + -7 Combine like terms: 7 + -7 = 0 0 + -16X = -105 + -7 -16X = -105 + -7 Combine like terms: -105 + -7 = -112 -16X = -112 Divide each side by '-16'. X = 7 Simplifying X = 7
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