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Simplifying 12x + -4 + -3x = 8x + -5 + 10 Reorder the terms: -4 + 12x + -3x = 8x + -5 + 10 Combine like terms: 12x + -3x = 9x -4 + 9x = 8x + -5 + 10 Reorder the terms: -4 + 9x = -5 + 10 + 8x Combine like terms: -5 + 10 = 5 -4 + 9x = 5 + 8x Solving -4 + 9x = 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. -4 + 9x + -8x = 5 + 8x + -8x Combine like terms: 9x + -8x = 1x -4 + 1x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 1x = 5 + 0 -4 + 1x = 5 Add '4' to each side of the equation. -4 + 4 + 1x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 5 + 4 1x = 5 + 4 Combine like terms: 5 + 4 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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