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Simplifying 4x + 174 = 13x + -6 Reorder the terms: 174 + 4x = 13x + -6 Reorder the terms: 174 + 4x = -6 + 13x Solving 174 + 4x = -6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 174 + 4x + -13x = -6 + 13x + -13x Combine like terms: 4x + -13x = -9x 174 + -9x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 174 + -9x = -6 + 0 174 + -9x = -6 Add '-174' to each side of the equation. 174 + -174 + -9x = -6 + -174 Combine like terms: 174 + -174 = 0 0 + -9x = -6 + -174 -9x = -6 + -174 Combine like terms: -6 + -174 = -180 -9x = -180 Divide each side by '-9'. x = 20 Simplifying x = 20
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