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Simplifying 174 + -6x = 4x + 24 Reorder the terms: 174 + -6x = 24 + 4x Solving 174 + -6x = 24 + 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. 174 + -6x + -4x = 24 + 4x + -4x Combine like terms: -6x + -4x = -10x 174 + -10x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 174 + -10x = 24 + 0 174 + -10x = 24 Add '-174' to each side of the equation. 174 + -174 + -10x = 24 + -174 Combine like terms: 174 + -174 = 0 0 + -10x = 24 + -174 -10x = 24 + -174 Combine like terms: 24 + -174 = -150 -10x = -150 Divide each side by '-10'. x = 15 Simplifying x = 15
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