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Simplifying 10x + -6 + 7x + -3 = 12x + 6 Reorder the terms: -6 + -3 + 10x + 7x = 12x + 6 Combine like terms: -6 + -3 = -9 -9 + 10x + 7x = 12x + 6 Combine like terms: 10x + 7x = 17x -9 + 17x = 12x + 6 Reorder the terms: -9 + 17x = 6 + 12x Solving -9 + 17x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 17x + -12x = 6 + 12x + -12x Combine like terms: 17x + -12x = 5x -9 + 5x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + 5x = 6 + 0 -9 + 5x = 6 Add '9' to each side of the equation. -9 + 9 + 5x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 6 + 9 5x = 6 + 9 Combine like terms: 6 + 9 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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