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Simplifying 3x + 6 + 41 + 6x + -5 + 4x + 7 + 62 + 7x + -11 = 360 Reorder the terms: 6 + 41 + -5 + 7 + 62 + -11 + 3x + 6x + 4x + 7x = 360 Combine like terms: 6 + 41 = 47 47 + -5 + 7 + 62 + -11 + 3x + 6x + 4x + 7x = 360 Combine like terms: 47 + -5 = 42 42 + 7 + 62 + -11 + 3x + 6x + 4x + 7x = 360 Combine like terms: 42 + 7 = 49 49 + 62 + -11 + 3x + 6x + 4x + 7x = 360 Combine like terms: 49 + 62 = 111 111 + -11 + 3x + 6x + 4x + 7x = 360 Combine like terms: 111 + -11 = 100 100 + 3x + 6x + 4x + 7x = 360 Combine like terms: 3x + 6x = 9x 100 + 9x + 4x + 7x = 360 Combine like terms: 9x + 4x = 13x 100 + 13x + 7x = 360 Combine like terms: 13x + 7x = 20x 100 + 20x = 360 Solving 100 + 20x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 20x = 360 + -100 Combine like terms: 100 + -100 = 0 0 + 20x = 360 + -100 20x = 360 + -100 Combine like terms: 360 + -100 = 260 20x = 260 Divide each side by '20'. x = 13 Simplifying x = 13
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