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Simplifying 13x + 12 = 4x + 174 Reorder the terms: 12 + 13x = 4x + 174 Reorder the terms: 12 + 13x = 174 + 4x Solving 12 + 13x = 174 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 13x + -4x = 174 + 4x + -4x Combine like terms: 13x + -4x = 9x 12 + 9x = 174 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 9x = 174 + 0 12 + 9x = 174 Add '-12' to each side of the equation. 12 + -12 + 9x = 174 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 174 + -12 9x = 174 + -12 Combine like terms: 174 + -12 = 162 9x = 162 Divide each side by '9'. x = 18 Simplifying x = 18
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