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Simplifying (3x + 2) + -1(x + -4) = 48 Reorder the terms: (2 + 3x) + -1(x + -4) = 48 Remove parenthesis around (2 + 3x) 2 + 3x + -1(x + -4) = 48 Reorder the terms: 2 + 3x + -1(-4 + x) = 48 2 + 3x + (-4 * -1 + x * -1) = 48 2 + 3x + (4 + -1x) = 48 Reorder the terms: 2 + 4 + 3x + -1x = 48 Combine like terms: 2 + 4 = 6 6 + 3x + -1x = 48 Combine like terms: 3x + -1x = 2x 6 + 2x = 48 Solving 6 + 2x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 48 + -6 2x = 48 + -6 Combine like terms: 48 + -6 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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