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Simplifying 5x + 113 = 9x + -7 + 6x Reorder the terms: 113 + 5x = 9x + -7 + 6x Reorder the terms: 113 + 5x = -7 + 9x + 6x Combine like terms: 9x + 6x = 15x 113 + 5x = -7 + 15x Solving 113 + 5x = -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 + 5x + -15x = -7 + 15x + -15x Combine like terms: 5x + -15x = -10x 113 + -10x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 113 + -10x = -7 + 0 113 + -10x = -7 Add '-113' to each side of the equation. 113 + -113 + -10x = -7 + -113 Combine like terms: 113 + -113 = 0 0 + -10x = -7 + -113 -10x = -7 + -113 Combine like terms: -7 + -113 = -120 -10x = -120 Divide each side by '-10'. x = 12 Simplifying x = 12
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