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Simplifying 1 + 8x + -3x + 10 = 2 + 12x + 9 Reorder the terms: 1 + 10 + 8x + -3x = 2 + 12x + 9 Combine like terms: 1 + 10 = 11 11 + 8x + -3x = 2 + 12x + 9 Combine like terms: 8x + -3x = 5x 11 + 5x = 2 + 12x + 9 Reorder the terms: 11 + 5x = 2 + 9 + 12x Combine like terms: 2 + 9 = 11 11 + 5x = 11 + 12x Add '-11' to each side of the equation. 11 + -11 + 5x = 11 + -11 + 12x Combine like terms: 11 + -11 = 0 0 + 5x = 11 + -11 + 12x 5x = 11 + -11 + 12x Combine like terms: 11 + -11 = 0 5x = 0 + 12x 5x = 12x Solving 5x = 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. 5x + -12x = 12x + -12x Combine like terms: 5x + -12x = -7x -7x = 12x + -12x Combine like terms: 12x + -12x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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