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Simplifying 3x + 45 = 12x + 165 Reorder the terms: 45 + 3x = 12x + 165 Reorder the terms: 45 + 3x = 165 + 12x Solving 45 + 3x = 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. 45 + 3x + -12x = 165 + 12x + -12x Combine like terms: 3x + -12x = -9x 45 + -9x = 165 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + -9x = 165 + 0 45 + -9x = 165 Add '-45' to each side of the equation. 45 + -45 + -9x = 165 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = 165 + -45 -9x = 165 + -45 Combine like terms: 165 + -45 = 120 -9x = 120 Divide each side by '-9'. x = -13.33333333 Simplifying x = -13.33333333
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