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Simplifying 12x + 5x + -165 = 12x + 65 Reorder the terms: -165 + 12x + 5x = 12x + 65 Combine like terms: 12x + 5x = 17x -165 + 17x = 12x + 65 Reorder the terms: -165 + 17x = 65 + 12x Solving -165 + 17x = 65 + 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. -165 + 17x + -12x = 65 + 12x + -12x Combine like terms: 17x + -12x = 5x -165 + 5x = 65 + 12x + -12x Combine like terms: 12x + -12x = 0 -165 + 5x = 65 + 0 -165 + 5x = 65 Add '165' to each side of the equation. -165 + 165 + 5x = 65 + 165 Combine like terms: -165 + 165 = 0 0 + 5x = 65 + 165 5x = 65 + 165 Combine like terms: 65 + 165 = 230 5x = 230 Divide each side by '5'. x = 46 Simplifying x = 46
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