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Simplifying 3x + 5x + 2x + 12 = 8x Reorder the terms: 12 + 3x + 5x + 2x = 8x Combine like terms: 3x + 5x = 8x 12 + 8x + 2x = 8x Combine like terms: 8x + 2x = 10x 12 + 10x = 8x Solving 12 + 10x = 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. 12 + 10x + -8x = 8x + -8x Combine like terms: 10x + -8x = 2x 12 + 2x = 8x + -8x Combine like terms: 8x + -8x = 0 12 + 2x = 0 Add '-12' to each side of the equation. 12 + -12 + 2x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 0 + -12 2x = 0 + -12 Combine like terms: 0 + -12 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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