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Simplifying (3x + 41) + (8x + -54) + (12x + -103) = 180 Reorder the terms: (41 + 3x) + (8x + -54) + (12x + -103) = 180 Remove parenthesis around (41 + 3x) 41 + 3x + (8x + -54) + (12x + -103) = 180 Reorder the terms: 41 + 3x + (-54 + 8x) + (12x + -103) = 180 Remove parenthesis around (-54 + 8x) 41 + 3x + -54 + 8x + (12x + -103) = 180 Reorder the terms: 41 + 3x + -54 + 8x + (-103 + 12x) = 180 Remove parenthesis around (-103 + 12x) 41 + 3x + -54 + 8x + -103 + 12x = 180 Reorder the terms: 41 + -54 + -103 + 3x + 8x + 12x = 180 Combine like terms: 41 + -54 = -13 -13 + -103 + 3x + 8x + 12x = 180 Combine like terms: -13 + -103 = -116 -116 + 3x + 8x + 12x = 180 Combine like terms: 3x + 8x = 11x -116 + 11x + 12x = 180 Combine like terms: 11x + 12x = 23x -116 + 23x = 180 Solving -116 + 23x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '116' to each side of the equation. -116 + 116 + 23x = 180 + 116 Combine like terms: -116 + 116 = 0 0 + 23x = 180 + 116 23x = 180 + 116 Combine like terms: 180 + 116 = 296 23x = 296 Divide each side by '23'. x = 12.86956522 Simplifying x = 12.86956522
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