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Simplifying 10x + 113 = 8x + 5 + 7x + -12 Reorder the terms: 113 + 10x = 8x + 5 + 7x + -12 Reorder the terms: 113 + 10x = 5 + -12 + 8x + 7x Combine like terms: 5 + -12 = -7 113 + 10x = -7 + 8x + 7x Combine like terms: 8x + 7x = 15x 113 + 10x = -7 + 15x Solving 113 + 10x = -7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 113 + 10x + -15x = -7 + 15x + -15x Combine like terms: 10x + -15x = -5x 113 + -5x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 113 + -5x = -7 + 0 113 + -5x = -7 Add '-113' to each side of the equation. 113 + -113 + -5x = -7 + -113 Combine like terms: 113 + -113 = 0 0 + -5x = -7 + -113 -5x = -7 + -113 Combine like terms: -7 + -113 = -120 -5x = -120 Divide each side by '-5'. x = 24 Simplifying x = 24
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