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Simplifying x + -12 + 7x = 2 + 2x + 10 Reorder the terms: -12 + x + 7x = 2 + 2x + 10 Combine like terms: x + 7x = 8x -12 + 8x = 2 + 2x + 10 Reorder the terms: -12 + 8x = 2 + 10 + 2x Combine like terms: 2 + 10 = 12 -12 + 8x = 12 + 2x Solving -12 + 8x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 8x + -2x = 12 + 2x + -2x Combine like terms: 8x + -2x = 6x -12 + 6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 6x = 12 + 0 -12 + 6x = 12 Add '12' to each side of the equation. -12 + 12 + 6x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 12 + 12 6x = 12 + 12 Combine like terms: 12 + 12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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