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Simplifying 6 + -2x = 6x + 51 Reorder the terms: 6 + -2x = 51 + 6x Solving 6 + -2x = 51 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + -2x + -6x = 51 + 6x + -6x Combine like terms: -2x + -6x = -8x 6 + -8x = 51 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -8x = 51 + 0 6 + -8x = 51 Add '-6' to each side of the equation. 6 + -6 + -8x = 51 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 51 + -6 -8x = 51 + -6 Combine like terms: 51 + -6 = 45 -8x = 45 Divide each side by '-8'. x = -5.625 Simplifying x = -5.625
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