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Simplifying 3x + 12 = 8x + -6 Reorder the terms: 12 + 3x = 8x + -6 Reorder the terms: 12 + 3x = -6 + 8x Solving 12 + 3x = -6 + 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 + 3x + -8x = -6 + 8x + -8x Combine like terms: 3x + -8x = -5x 12 + -5x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -5x = -6 + 0 12 + -5x = -6 Add '-12' to each side of the equation. 12 + -12 + -5x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -6 + -12 -5x = -6 + -12 Combine like terms: -6 + -12 = -18 -5x = -18 Divide each side by '-5'. x = 3.6 Simplifying x = 3.6
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