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Simplifying 5x + -12 + 2x + 100 + 4x + 16 + 6x + 15 + 3x + 41 = 360 Reorder the terms: -12 + 100 + 16 + 15 + 41 + 5x + 2x + 4x + 6x + 3x = 360 Combine like terms: -12 + 100 = 88 88 + 16 + 15 + 41 + 5x + 2x + 4x + 6x + 3x = 360 Combine like terms: 88 + 16 = 104 104 + 15 + 41 + 5x + 2x + 4x + 6x + 3x = 360 Combine like terms: 104 + 15 = 119 119 + 41 + 5x + 2x + 4x + 6x + 3x = 360 Combine like terms: 119 + 41 = 160 160 + 5x + 2x + 4x + 6x + 3x = 360 Combine like terms: 5x + 2x = 7x 160 + 7x + 4x + 6x + 3x = 360 Combine like terms: 7x + 4x = 11x 160 + 11x + 6x + 3x = 360 Combine like terms: 11x + 6x = 17x 160 + 17x + 3x = 360 Combine like terms: 17x + 3x = 20x 160 + 20x = 360 Solving 160 + 20x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + 20x = 360 + -160 Combine like terms: 160 + -160 = 0 0 + 20x = 360 + -160 20x = 360 + -160 Combine like terms: 360 + -160 = 200 20x = 200 Divide each side by '20'. x = 10 Simplifying x = 10
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