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Simplifying 3(x + 7) = 25 + -1(2 + -1x) Reorder the terms: 3(7 + x) = 25 + -1(2 + -1x) (7 * 3 + x * 3) = 25 + -1(2 + -1x) (21 + 3x) = 25 + -1(2 + -1x) 21 + 3x = 25 + (2 * -1 + -1x * -1) 21 + 3x = 25 + (-2 + 1x) Combine like terms: 25 + -2 = 23 21 + 3x = 23 + 1x Solving 21 + 3x = 23 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + 3x + -1x = 23 + 1x + -1x Combine like terms: 3x + -1x = 2x 21 + 2x = 23 + 1x + -1x Combine like terms: 1x + -1x = 0 21 + 2x = 23 + 0 21 + 2x = 23 Add '-21' to each side of the equation. 21 + -21 + 2x = 23 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 23 + -21 2x = 23 + -21 Combine like terms: 23 + -21 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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