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Simplifying 7(X + -6) = 3X + 9 Reorder the terms: 7(-6 + X) = 3X + 9 (-6 * 7 + X * 7) = 3X + 9 (-42 + 7X) = 3X + 9 Reorder the terms: -42 + 7X = 9 + 3X Solving -42 + 7X = 9 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -42 + 7X + -3X = 9 + 3X + -3X Combine like terms: 7X + -3X = 4X -42 + 4X = 9 + 3X + -3X Combine like terms: 3X + -3X = 0 -42 + 4X = 9 + 0 -42 + 4X = 9 Add '42' to each side of the equation. -42 + 42 + 4X = 9 + 42 Combine like terms: -42 + 42 = 0 0 + 4X = 9 + 42 4X = 9 + 42 Combine like terms: 9 + 42 = 51 4X = 51 Divide each side by '4'. X = 12.75 Simplifying X = 12.75
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