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Simplifying (6x + -41) * 2 + (3x + 22) = 360 Reorder the terms: (-41 + 6x) * 2 + (3x + 22) = 360 Reorder the terms for easier multiplication: 2(-41 + 6x) + (3x + 22) = 360 (-41 * 2 + 6x * 2) + (3x + 22) = 360 (-82 + 12x) + (3x + 22) = 360 Reorder the terms: -82 + 12x + (22 + 3x) = 360 Remove parenthesis around (22 + 3x) -82 + 12x + 22 + 3x = 360 Reorder the terms: -82 + 22 + 12x + 3x = 360 Combine like terms: -82 + 22 = -60 -60 + 12x + 3x = 360 Combine like terms: 12x + 3x = 15x -60 + 15x = 360 Solving -60 + 15x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 15x = 360 + 60 Combine like terms: -60 + 60 = 0 0 + 15x = 360 + 60 15x = 360 + 60 Combine like terms: 360 + 60 = 420 15x = 420 Divide each side by '15'. x = 28 Simplifying x = 28
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