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Simplifying (3 + 2x) + -1(x + 8) = 7 Remove parenthesis around (3 + 2x) 3 + 2x + -1(x + 8) = 7 Reorder the terms: 3 + 2x + -1(8 + x) = 7 3 + 2x + (8 * -1 + x * -1) = 7 3 + 2x + (-8 + -1x) = 7 Reorder the terms: 3 + -8 + 2x + -1x = 7 Combine like terms: 3 + -8 = -5 -5 + 2x + -1x = 7 Combine like terms: 2x + -1x = 1x -5 + 1x = 7 Solving -5 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 7 + 5 1x = 7 + 5 Combine like terms: 7 + 5 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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