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Simplifying 12x + -171 = 3x + 45 Reorder the terms: -171 + 12x = 3x + 45 Reorder the terms: -171 + 12x = 45 + 3x Solving -171 + 12x = 45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -171 + 12x + -3x = 45 + 3x + -3x Combine like terms: 12x + -3x = 9x -171 + 9x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 -171 + 9x = 45 + 0 -171 + 9x = 45 Add '171' to each side of the equation. -171 + 171 + 9x = 45 + 171 Combine like terms: -171 + 171 = 0 0 + 9x = 45 + 171 9x = 45 + 171 Combine like terms: 45 + 171 = 216 9x = 216 Divide each side by '9'. x = 24 Simplifying x = 24
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