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Simplifying (3x + 1) + -1(2x + 2) = 60 Reorder the terms: (1 + 3x) + -1(2x + 2) = 60 Remove parenthesis around (1 + 3x) 1 + 3x + -1(2x + 2) = 60 Reorder the terms: 1 + 3x + -1(2 + 2x) = 60 1 + 3x + (2 * -1 + 2x * -1) = 60 1 + 3x + (-2 + -2x) = 60 Reorder the terms: 1 + -2 + 3x + -2x = 60 Combine like terms: 1 + -2 = -1 -1 + 3x + -2x = 60 Combine like terms: 3x + -2x = 1x -1 + 1x = 60 Solving -1 + 1x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 60 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 60 + 1 1x = 60 + 1 Combine like terms: 60 + 1 = 61 1x = 61 Divide each side by '1'. x = 61 Simplifying x = 61
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