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Simplifying 4x + (3x + 10) + 2x + (x + 20) = 360 Reorder the terms: 4x + (10 + 3x) + 2x + (x + 20) = 360 Remove parenthesis around (10 + 3x) 4x + 10 + 3x + 2x + (x + 20) = 360 Reorder the terms: 4x + 10 + 3x + 2x + (20 + x) = 360 Remove parenthesis around (20 + x) 4x + 10 + 3x + 2x + 20 + x = 360 Reorder the terms: 10 + 20 + 4x + 3x + 2x + x = 360 Combine like terms: 10 + 20 = 30 30 + 4x + 3x + 2x + x = 360 Combine like terms: 4x + 3x = 7x 30 + 7x + 2x + x = 360 Combine like terms: 7x + 2x = 9x 30 + 9x + x = 360 Combine like terms: 9x + x = 10x 30 + 10x = 360 Solving 30 + 10x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 10x = 360 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 360 + -30 10x = 360 + -30 Combine like terms: 360 + -30 = 330 10x = 330 Divide each side by '10'. x = 33 Simplifying x = 33
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