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Simplifying 45 + -17x + 6 = 12x + -54x + 17x Reorder the terms: 45 + 6 + -17x = 12x + -54x + 17x Combine like terms: 45 + 6 = 51 51 + -17x = 12x + -54x + 17x Combine like terms: 12x + -54x = -42x 51 + -17x = -42x + 17x Combine like terms: -42x + 17x = -25x 51 + -17x = -25x Solving 51 + -17x = -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 51 + -17x + 25x = -25x + 25x Combine like terms: -17x + 25x = 8x 51 + 8x = -25x + 25x Combine like terms: -25x + 25x = 0 51 + 8x = 0 Add '-51' to each side of the equation. 51 + -51 + 8x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 8x = 0 + -51 8x = 0 + -51 Combine like terms: 0 + -51 = -51 8x = -51 Divide each side by '8'. x = -6.375 Simplifying x = -6.375
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