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Simplifying 7(X + -5) = 49(X) Reorder the terms: 7(-5 + X) = 49(X) (-5 * 7 + X * 7) = 49(X) (-35 + 7X) = 49(X) Solving -35 + 7X = 49X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-49X' to each side of the equation. -35 + 7X + -49X = 49X + -49X Combine like terms: 7X + -49X = -42X -35 + -42X = 49X + -49X Combine like terms: 49X + -49X = 0 -35 + -42X = 0 Add '35' to each side of the equation. -35 + 35 + -42X = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -42X = 0 + 35 -42X = 0 + 35 Combine like terms: 0 + 35 = 35 -42X = 35 Divide each side by '-42'. X = -0.8333333333 Simplifying X = -0.8333333333
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