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Simplifying (5x + 8) + (30x + 12) + (6x + -4) = 180 Reorder the terms: (8 + 5x) + (30x + 12) + (6x + -4) = 180 Remove parenthesis around (8 + 5x) 8 + 5x + (30x + 12) + (6x + -4) = 180 Reorder the terms: 8 + 5x + (12 + 30x) + (6x + -4) = 180 Remove parenthesis around (12 + 30x) 8 + 5x + 12 + 30x + (6x + -4) = 180 Reorder the terms: 8 + 5x + 12 + 30x + (-4 + 6x) = 180 Remove parenthesis around (-4 + 6x) 8 + 5x + 12 + 30x + -4 + 6x = 180 Reorder the terms: 8 + 12 + -4 + 5x + 30x + 6x = 180 Combine like terms: 8 + 12 = 20 20 + -4 + 5x + 30x + 6x = 180 Combine like terms: 20 + -4 = 16 16 + 5x + 30x + 6x = 180 Combine like terms: 5x + 30x = 35x 16 + 35x + 6x = 180 Combine like terms: 35x + 6x = 41x 16 + 41x = 180 Solving 16 + 41x = 180 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 + 41x = 180 + -16 Combine like terms: 16 + -16 = 0 0 + 41x = 180 + -16 41x = 180 + -16 Combine like terms: 180 + -16 = 164 41x = 164 Divide each side by '41'. x = 4 Simplifying x = 4
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