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Simplifying 3x + 12 = 51 + -8x Reorder the terms: 12 + 3x = 51 + -8x Solving 12 + 3x = 51 + -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 = 51 + -8x + 8x Combine like terms: 3x + 8x = 11x 12 + 11x = 51 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 11x = 51 + 0 12 + 11x = 51 Add '-12' to each side of the equation. 12 + -12 + 11x = 51 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 51 + -12 11x = 51 + -12 Combine like terms: 51 + -12 = 39 11x = 39 Divide each side by '11'. x = 3.545454545 Simplifying x = 3.545454545
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