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Simplifying 3x + 7(X + -7) = 3(x + -7) Reorder the terms: 3x + 7(-7 + X) = 3(x + -7) 3x + (-7 * 7 + X * 7) = 3(x + -7) 3x + (-49 + 7X) = 3(x + -7) Reorder the terms: -49 + 7X + 3x = 3(x + -7) Reorder the terms: -49 + 7X + 3x = 3(-7 + x) -49 + 7X + 3x = (-7 * 3 + x * 3) -49 + 7X + 3x = (-21 + 3x) Add '-3x' to each side of the equation. -49 + 7X + 3x + -3x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -49 + 7X + 0 = -21 + 3x + -3x -49 + 7X = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -49 + 7X = -21 + 0 -49 + 7X = -21 Solving -49 + 7X = -21 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 7X = -21 + 49 Combine like terms: -49 + 49 = 0 0 + 7X = -21 + 49 7X = -21 + 49 Combine like terms: -21 + 49 = 28 7X = 28 Divide each side by '7'. X = 4 Simplifying X = 4
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