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Simplifying 3 + -1(x + 7) = 23 + -1(3x + 2) Reorder the terms: 3 + -1(7 + x) = 23 + -1(3x + 2) 3 + (7 * -1 + x * -1) = 23 + -1(3x + 2) 3 + (-7 + -1x) = 23 + -1(3x + 2) Combine like terms: 3 + -7 = -4 -4 + -1x = 23 + -1(3x + 2) Reorder the terms: -4 + -1x = 23 + -1(2 + 3x) -4 + -1x = 23 + (2 * -1 + 3x * -1) -4 + -1x = 23 + (-2 + -3x) Combine like terms: 23 + -2 = 21 -4 + -1x = 21 + -3x Solving -4 + -1x = 21 + -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. -4 + -1x + 3x = 21 + -3x + 3x Combine like terms: -1x + 3x = 2x -4 + 2x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 2x = 21 + 0 -4 + 2x = 21 Add '4' to each side of the equation. -4 + 4 + 2x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 21 + 4 2x = 21 + 4 Combine like terms: 21 + 4 = 25 2x = 25 Divide each side by '2'. x = 12.5 Simplifying x = 12.5
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