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Simplifying 2x + 3x + -12 = 8x + 12 Reorder the terms: -12 + 2x + 3x = 8x + 12 Combine like terms: 2x + 3x = 5x -12 + 5x = 8x + 12 Reorder the terms: -12 + 5x = 12 + 8x Solving -12 + 5x = 12 + 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 + 5x + -8x = 12 + 8x + -8x Combine like terms: 5x + -8x = -3x -12 + -3x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -3x = 12 + 0 -12 + -3x = 12 Add '12' to each side of the equation. -12 + 12 + -3x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 12 + 12 -3x = 12 + 12 Combine like terms: 12 + 12 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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