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Simplifying 4x + 174 = 12x + -10 Reorder the terms: 174 + 4x = 12x + -10 Reorder the terms: 174 + 4x = -10 + 12x Solving 174 + 4x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 174 + 4x + -12x = -10 + 12x + -12x Combine like terms: 4x + -12x = -8x 174 + -8x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 174 + -8x = -10 + 0 174 + -8x = -10 Add '-174' to each side of the equation. 174 + -174 + -8x = -10 + -174 Combine like terms: 174 + -174 = 0 0 + -8x = -10 + -174 -8x = -10 + -174 Combine like terms: -10 + -174 = -184 -8x = -184 Divide each side by '-8'. x = 23 Simplifying x = 23
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