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Simplifying 3x + 8 + 6x = 10x + -1x + 12 + -4x Reorder the terms: 8 + 3x + 6x = 10x + -1x + 12 + -4x Combine like terms: 3x + 6x = 9x 8 + 9x = 10x + -1x + 12 + -4x Reorder the terms: 8 + 9x = 12 + 10x + -1x + -4x Combine like terms: 10x + -1x = 9x 8 + 9x = 12 + 9x + -4x Combine like terms: 9x + -4x = 5x 8 + 9x = 12 + 5x Solving 8 + 9x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 9x + -5x = 12 + 5x + -5x Combine like terms: 9x + -5x = 4x 8 + 4x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 4x = 12 + 0 8 + 4x = 12 Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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