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Simplifying 6x + (x + 16) + 5x + (3x + -1) = 360 Reorder the terms: 6x + (16 + x) + 5x + (3x + -1) = 360 Remove parenthesis around (16 + x) 6x + 16 + x + 5x + (3x + -1) = 360 Reorder the terms: 6x + 16 + x + 5x + (-1 + 3x) = 360 Remove parenthesis around (-1 + 3x) 6x + 16 + x + 5x + -1 + 3x = 360 Reorder the terms: 16 + -1 + 6x + x + 5x + 3x = 360 Combine like terms: 16 + -1 = 15 15 + 6x + x + 5x + 3x = 360 Combine like terms: 6x + x = 7x 15 + 7x + 5x + 3x = 360 Combine like terms: 7x + 5x = 12x 15 + 12x + 3x = 360 Combine like terms: 12x + 3x = 15x 15 + 15x = 360 Solving 15 + 15x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 15x = 360 + -15 Combine like terms: 15 + -15 = 0 0 + 15x = 360 + -15 15x = 360 + -15 Combine like terms: 360 + -15 = 345 15x = 345 Divide each side by '15'. x = 23 Simplifying x = 23
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