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Simplifying 3(X + -7) + 2x = 46 Reorder the terms: 3(-7 + X) + 2x = 46 (-7 * 3 + X * 3) + 2x = 46 (-21 + 3X) + 2x = 46 Solving -21 + 3X + 2x = 46 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 3X + 21 + 2x = 46 + 21 Reorder the terms: -21 + 21 + 3X + 2x = 46 + 21 Combine like terms: -21 + 21 = 0 0 + 3X + 2x = 46 + 21 3X + 2x = 46 + 21 Combine like terms: 46 + 21 = 67 3X + 2x = 67 Add '-2x' to each side of the equation. 3X + 2x + -2x = 67 + -2x Combine like terms: 2x + -2x = 0 3X + 0 = 67 + -2x 3X = 67 + -2x Divide each side by '3'. X = 22.33333333 + -0.6666666667x Simplifying X = 22.33333333 + -0.6666666667x
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