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Simplifying -45 + 2x = -6x + 51 Reorder the terms: -45 + 2x = 51 + -6x Solving -45 + 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. -45 + 2x + 6x = 51 + -6x + 6x Combine like terms: 2x + 6x = 8x -45 + 8x = 51 + -6x + 6x Combine like terms: -6x + 6x = 0 -45 + 8x = 51 + 0 -45 + 8x = 51 Add '45' to each side of the equation. -45 + 45 + 8x = 51 + 45 Combine like terms: -45 + 45 = 0 0 + 8x = 51 + 45 8x = 51 + 45 Combine like terms: 51 + 45 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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