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Simplifying 7x + 8 + -10x + -12 = 9x + -6x + 8 Reorder the terms: 8 + -12 + 7x + -10x = 9x + -6x + 8 Combine like terms: 8 + -12 = -4 -4 + 7x + -10x = 9x + -6x + 8 Combine like terms: 7x + -10x = -3x -4 + -3x = 9x + -6x + 8 Reorder the terms: -4 + -3x = 8 + 9x + -6x Combine like terms: 9x + -6x = 3x -4 + -3x = 8 + 3x Solving -4 + -3x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -3x + -3x = 8 + 3x + -3x Combine like terms: -3x + -3x = -6x -4 + -6x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -6x = 8 + 0 -4 + -6x = 8 Add '4' to each side of the equation. -4 + 4 + -6x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 8 + 4 -6x = 8 + 4 Combine like terms: 8 + 4 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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