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Simplifying 10x + -6x + 174 = 10x + 102 Reorder the terms: 174 + 10x + -6x = 10x + 102 Combine like terms: 10x + -6x = 4x 174 + 4x = 10x + 102 Reorder the terms: 174 + 4x = 102 + 10x Solving 174 + 4x = 102 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 174 + 4x + -10x = 102 + 10x + -10x Combine like terms: 4x + -10x = -6x 174 + -6x = 102 + 10x + -10x Combine like terms: 10x + -10x = 0 174 + -6x = 102 + 0 174 + -6x = 102 Add '-174' to each side of the equation. 174 + -174 + -6x = 102 + -174 Combine like terms: 174 + -174 = 0 0 + -6x = 102 + -174 -6x = 102 + -174 Combine like terms: 102 + -174 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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