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Simplifying 6x + -105 = -12x + 165 Reorder the terms: -105 + 6x = -12x + 165 Reorder the terms: -105 + 6x = 165 + -12x Solving -105 + 6x = 165 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -105 + 6x + 12x = 165 + -12x + 12x Combine like terms: 6x + 12x = 18x -105 + 18x = 165 + -12x + 12x Combine like terms: -12x + 12x = 0 -105 + 18x = 165 + 0 -105 + 18x = 165 Add '105' to each side of the equation. -105 + 105 + 18x = 165 + 105 Combine like terms: -105 + 105 = 0 0 + 18x = 165 + 105 18x = 165 + 105 Combine like terms: 165 + 105 = 270 18x = 270 Divide each side by '18'. x = 15 Simplifying x = 15
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