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Simplifying 12x + 3x + -7 = 10x + 8 Reorder the terms: -7 + 12x + 3x = 10x + 8 Combine like terms: 12x + 3x = 15x -7 + 15x = 10x + 8 Reorder the terms: -7 + 15x = 8 + 10x Solving -7 + 15x = 8 + 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 = 8 + 10x + -10x Combine like terms: 15x + -10x = 5x -7 + 5x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + 5x = 8 + 0 -7 + 5x = 8 Add '7' to each side of the equation. -7 + 7 + 5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 8 + 7 5x = 8 + 7 Combine like terms: 8 + 7 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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