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Simplifying 3(2X + -7) + -2X = 2X + -5 Reorder the terms: 3(-7 + 2X) + -2X = 2X + -5 (-7 * 3 + 2X * 3) + -2X = 2X + -5 (-21 + 6X) + -2X = 2X + -5 Combine like terms: 6X + -2X = 4X -21 + 4X = 2X + -5 Reorder the terms: -21 + 4X = -5 + 2X Solving -21 + 4X = -5 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -21 + 4X + -2X = -5 + 2X + -2X Combine like terms: 4X + -2X = 2X -21 + 2X = -5 + 2X + -2X Combine like terms: 2X + -2X = 0 -21 + 2X = -5 + 0 -21 + 2X = -5 Add '21' to each side of the equation. -21 + 21 + 2X = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 2X = -5 + 21 2X = -5 + 21 Combine like terms: -5 + 21 = 16 2X = 16 Divide each side by '2'. X = 8 Simplifying X = 8
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