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