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Simplifying 5x + 174 = 15x + -6 Reorder the terms: 174 + 5x = 15x + -6 Reorder the terms: 174 + 5x = -6 + 15x Solving 174 + 5x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 174 + 5x + -15x = -6 + 15x + -15x Combine like terms: 5x + -15x = -10x 174 + -10x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 174 + -10x = -6 + 0 174 + -10x = -6 Add '-174' to each side of the equation. 174 + -174 + -10x = -6 + -174 Combine like terms: 174 + -174 = 0 0 + -10x = -6 + -174 -10x = -6 + -174 Combine like terms: -6 + -174 = -180 -10x = -180 Divide each side by '-10'. x = 18 Simplifying x = 18
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