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Simplifying 3(2x + 7) = 105 + -1x Reorder the terms: 3(7 + 2x) = 105 + -1x (7 * 3 + 2x * 3) = 105 + -1x (21 + 6x) = 105 + -1x Solving 21 + 6x = 105 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + 6x + x = 105 + -1x + x Combine like terms: 6x + x = 7x 21 + 7x = 105 + -1x + x Combine like terms: -1x + x = 0 21 + 7x = 105 + 0 21 + 7x = 105 Add '-21' to each side of the equation. 21 + -21 + 7x = 105 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 105 + -21 7x = 105 + -21 Combine like terms: 105 + -21 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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