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Simplifying x + x + 1 + x + 2 + x + 3 + x + 4 = -65 Reorder the terms: 1 + 2 + 3 + 4 + x + x + x + x + x = -65 Combine like terms: 1 + 2 = 3 3 + 3 + 4 + x + x + x + x + x = -65 Combine like terms: 3 + 3 = 6 6 + 4 + x + x + x + x + x = -65 Combine like terms: 6 + 4 = 10 10 + x + x + x + x + x = -65 Combine like terms: x + x = 2x 10 + 2x + x + x + x = -65 Combine like terms: 2x + x = 3x 10 + 3x + x + x = -65 Combine like terms: 3x + x = 4x 10 + 4x + x = -65 Combine like terms: 4x + x = 5x 10 + 5x = -65 Solving 10 + 5x = -65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5x = -65 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -65 + -10 5x = -65 + -10 Combine like terms: -65 + -10 = -75 5x = -75 Divide each side by '5'. x = -15 Simplifying x = -15
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