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Simplifying 3x + -5 + 150 + 4x + -10 + 5x + -23 + 150 + 127 + 4x + 15 + 100 = 1080 Reorder the terms: -5 + 150 + -10 + -23 + 150 + 127 + 15 + 100 + 3x + 4x + 5x + 4x = 1080 Combine like terms: -5 + 150 = 145 145 + -10 + -23 + 150 + 127 + 15 + 100 + 3x + 4x + 5x + 4x = 1080 Combine like terms: 145 + -10 = 135 135 + -23 + 150 + 127 + 15 + 100 + 3x + 4x + 5x + 4x = 1080 Combine like terms: 135 + -23 = 112 112 + 150 + 127 + 15 + 100 + 3x + 4x + 5x + 4x = 1080 Combine like terms: 112 + 150 = 262 262 + 127 + 15 + 100 + 3x + 4x + 5x + 4x = 1080 Combine like terms: 262 + 127 = 389 389 + 15 + 100 + 3x + 4x + 5x + 4x = 1080 Combine like terms: 389 + 15 = 404 404 + 100 + 3x + 4x + 5x + 4x = 1080 Combine like terms: 404 + 100 = 504 504 + 3x + 4x + 5x + 4x = 1080 Combine like terms: 3x + 4x = 7x 504 + 7x + 5x + 4x = 1080 Combine like terms: 7x + 5x = 12x 504 + 12x + 4x = 1080 Combine like terms: 12x + 4x = 16x 504 + 16x = 1080 Solving 504 + 16x = 1080 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-504' to each side of the equation. 504 + -504 + 16x = 1080 + -504 Combine like terms: 504 + -504 = 0 0 + 16x = 1080 + -504 16x = 1080 + -504 Combine like terms: 1080 + -504 = 576 16x = 576 Divide each side by '16'. x = 36 Simplifying x = 36
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