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Simplifying -12x + 8 = 3x + 51 Reorder the terms: 8 + -12x = 3x + 51 Reorder the terms: 8 + -12x = 51 + 3x Solving 8 + -12x = 51 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -12x + -3x = 51 + 3x + -3x Combine like terms: -12x + -3x = -15x 8 + -15x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -15x = 51 + 0 8 + -15x = 51 Add '-8' to each side of the equation. 8 + -8 + -15x = 51 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = 51 + -8 -15x = 51 + -8 Combine like terms: 51 + -8 = 43 -15x = 43 Divide each side by '-15'. x = -2.866666667 Simplifying x = -2.866666667
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