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Simplifying (3x + 8) + -1(x + -8) = 52 Reorder the terms: (8 + 3x) + -1(x + -8) = 52 Remove parenthesis around (8 + 3x) 8 + 3x + -1(x + -8) = 52 Reorder the terms: 8 + 3x + -1(-8 + x) = 52 8 + 3x + (-8 * -1 + x * -1) = 52 8 + 3x + (8 + -1x) = 52 Reorder the terms: 8 + 8 + 3x + -1x = 52 Combine like terms: 8 + 8 = 16 16 + 3x + -1x = 52 Combine like terms: 3x + -1x = 2x 16 + 2x = 52 Solving 16 + 2x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2x = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 52 + -16 2x = 52 + -16 Combine like terms: 52 + -16 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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