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Simplifying 5x + 10 = -120 + -8x Reorder the terms: 10 + 5x = -120 + -8x Solving 10 + 5x = -120 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + 5x + 8x = -120 + -8x + 8x Combine like terms: 5x + 8x = 13x 10 + 13x = -120 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 13x = -120 + 0 10 + 13x = -120 Add '-10' to each side of the equation. 10 + -10 + 13x = -120 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = -120 + -10 13x = -120 + -10 Combine like terms: -120 + -10 = -130 13x = -130 Divide each side by '13'. x = -10 Simplifying x = -10
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