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Simplifying 10x + -2 + -12x + -9 = 7 + -8x + -12 Reorder the terms: -2 + -9 + 10x + -12x = 7 + -8x + -12 Combine like terms: -2 + -9 = -11 -11 + 10x + -12x = 7 + -8x + -12 Combine like terms: 10x + -12x = -2x -11 + -2x = 7 + -8x + -12 Reorder the terms: -11 + -2x = 7 + -12 + -8x Combine like terms: 7 + -12 = -5 -11 + -2x = -5 + -8x Solving -11 + -2x = -5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -11 + -2x + 8x = -5 + -8x + 8x Combine like terms: -2x + 8x = 6x -11 + 6x = -5 + -8x + 8x Combine like terms: -8x + 8x = 0 -11 + 6x = -5 + 0 -11 + 6x = -5 Add '11' to each side of the equation. -11 + 11 + 6x = -5 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = -5 + 11 6x = -5 + 11 Combine like terms: -5 + 11 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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