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Simplifying 4x + -6x + 174 = 10x + 90 Reorder the terms: 174 + 4x + -6x = 10x + 90 Combine like terms: 4x + -6x = -2x 174 + -2x = 10x + 90 Reorder the terms: 174 + -2x = 90 + 10x Solving 174 + -2x = 90 + 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 + -2x + -10x = 90 + 10x + -10x Combine like terms: -2x + -10x = -12x 174 + -12x = 90 + 10x + -10x Combine like terms: 10x + -10x = 0 174 + -12x = 90 + 0 174 + -12x = 90 Add '-174' to each side of the equation. 174 + -174 + -12x = 90 + -174 Combine like terms: 174 + -174 = 0 0 + -12x = 90 + -174 -12x = 90 + -174 Combine like terms: 90 + -174 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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