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Simplifying (2x + 8) + (4x + -2) = 48 Reorder the terms: (8 + 2x) + (4x + -2) = 48 Remove parenthesis around (8 + 2x) 8 + 2x + (4x + -2) = 48 Reorder the terms: 8 + 2x + (-2 + 4x) = 48 Remove parenthesis around (-2 + 4x) 8 + 2x + -2 + 4x = 48 Reorder the terms: 8 + -2 + 2x + 4x = 48 Combine like terms: 8 + -2 = 6 6 + 2x + 4x = 48 Combine like terms: 2x + 4x = 6x 6 + 6x = 48 Solving 6 + 6x = 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 + 6x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 48 + -6 6x = 48 + -6 Combine like terms: 48 + -6 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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